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Non-perturbative renormalization flow in quantum field theory and statistical physics
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BRS symmetry from renormalization group flow
Bonini, M., D'Attanasio, M., & Marchesini, G. (1995) · Physics Letters B · doi:10.1016/0370-2693(94)01676-4 · Cited by 44
PHASE TRANSITION OF N-COMPONENT SUPERCONDUCTORS
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Self-citationThe electroweak phase transition through the renormalization group
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Self-citationCritical bubbles and fluctuations at the electroweak phase transition
Kripfganz, J., Laser, A., & Schmidt, M. G. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(94)00452-k · Cited by 44
Critical exponents without the epsilon expansion
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Effective quark interactions and QCD propagators
Bergerhoff, B., & WETTERICH, C. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.1591 · Cited by 43
Self-citationSeries expansion solution of the Wegner-Houghton renormalisation group equation
Margaritis, A., Ódor, G., & Patkós, A. (1988) · The European Physical Journal C · doi:10.1007/bf01560398 · Cited by 43
Scaling functions for O(4) in three dimensions
Toussaint, D. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.362 · Cited by 42
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Non-compact pure gauge QED in 3D is free
Morris, T. R. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)00913-6 · Cited by 41
Goldstone-mode effects and scaling function for the three-dimensional O(4) model
Engels, J., & Mendes, T. (1999) · CERN Document Server (European Organization for Nuclear Research) · Cited by 41
Scheme independence at first order phase transitions and the renormalisation group
Litim, D. F. (1997) · Physics Letters B · doi:10.1016/s0370-2693(96)01613-9 · Cited by 40
How sharp is the chiral crossover phenomenon for realistic meson masses?
Meyer‐Ortmanns, H., & Schaefer, B.-J. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.6586 · Cited by 40
“ENVIRONMENTALLY FRIENDLY” RENORMALIZATION
O’CONNOR, D., & STEPHENS, C. R. (1994) · International Journal of Modern Physics A · doi:10.1142/s0217751x94001151 · Cited by 40
Renormalization group approach to field theory at finite temperature
Ляо, С.-Б., & Strickland, M. T. (1995) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.52.3653 · Cited by 39
Metastability in two dimensions and the effective potential
Alford, M., & Gleiser, M. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.48.2838 · Cited by 39
The strongly interacting electroweak phase transition
Bergerhoff, B., & WETTERICH, C. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00079-8 · Cited by 38
Self-citationExact flow equations and the U(1) problem
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Gradient flows from an approximation to the exact renormalization group
Haagensen, P. E., Kubyshin, Y., Latorre, J. I., & Moreno, E. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)91228-9 · Cited by 37
Analysis of the Wilsonian effective potentials in dynamical chiral symmetry breaking
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Determination of the critical exponents for the λ transition of 4He by high-temperature expansion
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Radiatively induced first-order phase transitions the necessity of the renormalization group
Alford, M., & March-Russell, J. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90483-9 · Cited by 36
Coleman-Weinberg phase transition in two-scalar models
Bornholdt, S., Tetradis, N., & Wetterich, C. (1995) · Physics Letters B · doi:10.1016/0370-2693(95)00045-m · Cited by 36
Self-citationRenormalization of the Topological Charge in Yang–Mills TheoryPreprint
Reuter, M., & (DESY), H. (. P. '. D. K. M. S. D. E.-S. (1996) · Cited by 36
Quantum Liouville field theory as solution of a flow equation
Reuter, M., & Wetterich, C. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00447-1 · Cited by 36
Self-citationFluctuation corrections to bubble nucleation
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Quantum and thermal fluctuations in field theory
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High temperature phase transition in two-scalar theories
Bornholdt, S., Tetradis, N., & WETTERICH, C. (1996) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.53.4552 · Cited by 35
Self-citationIntroduction to polymer dynamics
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Electroweak Physics and the Early Universe
Joyce, M., & Laboratories, J. H. (1994) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4899-1304-3 · Cited by 35
Wilson renormalization-group analysis of theories with scalars and fermions
Clark, T. E., Haeri, B., & Love, S. T. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90122-6 · Cited by 35
Exact and approximate differential renormalization-group generators. II. The equation of state
Nicoll, J. F., & Chang, T. (1978) · Physical Review A · doi:10.1103/physreva.17.2083 · Cited by 35
Critical behavior of linear Φ4 models with G×G′ symmetry
Pisarski, R. D., & Stein, D. L. (1981) · Physical review. B, Condensed matter · doi:10.1103/physrevb.23.3549 · Cited by 35
Properties of derivative expansion approximations to the renormalization groupPreprint
Morris, T. R. (1996) · Cited by 35
Equation of state near the endpoint of the critical line
Seide, S., & WETTERICH, C. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00545-3 · Cited by 34
Self-citationEffective potential for a scalar field in three dimensions: Ising model in the ferromagnetic phase
Tsypin, M. M. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.55.8911 · Cited by 34
Scalar-gauge dynamics in (2+1) dimensions at small and large scalar couplings
Philipsen, O., Teper, M. J., & Wittig, H. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00330-7 · Cited by 34
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Matching numerical simulations to continuum field theories: A lattice renormalization study
Borrill, J. D., & Gleiser, M. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(96)00535-4 · Cited by 33
The chiral phase transition at high baryon density from nonperturbative flow equations
Berges, J., Jungnickel, D.-U., & Wetterich, C. (2000) · The European Physical Journal C · doi:10.1007/s100520000275 · Cited by 32
Self-citationBeta function and flowing couplings in the exact Wilson renormalization group in Yang-Mills theory
BONINI, M., Marchesini, G., & Simionato, M. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(96)00571-8 · Cited by 32
Quark matter 99 summary: Hadronic signals
Stock, R. (1999) · Nuclear Physics A · doi:10.1016/s0375-9474(99)85027-1 · Cited by 32
Critical behavior in the electroweak phase transition
Gleiser, M., & Kolb, E. W. (1993) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.48.1560 · Cited by 32
The region of validity of homogeneous nucleation theory
Strumia, A., Tetradis, N., & Wetterich, C. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)01158-2 · Cited by 31
Self-citationKinetics of sub-critical bubbles and the electroweak transition
Gelmini, G. B., & Gleiser, M. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90360-3 · Cited by 31
Abelian Ward identity from the background field dependence of the effective action
Freire, F., & WETTERICH, C. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00513-8 · Cited by 29
Self-citationNonperturbative Analysis of the Coleman–Weinberg Phase Transition
Litim, D. F., WETTERICH, C., & Tetradis, N. (1997) · Modern Physics Letters A · doi:10.1142/s0217732397002363 · Cited by 29
Self-citationQuantum Liouville field theory as solution of a flow equationPreprint
Reuter, M., & WETTERICH, C. (1996) · Cited by 29
Self-citationWegner-Houghton equation and derivative expansion
Bonanno, A. M., Branchina, V., Mohrbach, H., & Zappalà, D. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.065009 · Cited by 28
The renormalisation group and global G×G' theories about four dimensions
Pisarski, R. D., & Stein, D. L. (1981) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/14/12/027 · Cited by 28
Wilson renormalization group for supersymmetric gauge theories and gauge anomalies
BONINI, M., & Vian, F. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00458-1 · Cited by 27
Dimensional crossover and effective exponents
Liao, S.-B., & Strickland, M. T. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00212-5 · Cited by 27
BRS symmetry from renormalization group flow
Bonini, M., & D'Attanasio, M. (1994) · CERN Document Server (European Organization for Nuclear Research) · Cited by 26
Two loop results from the derivative expansion of the blocked action
Bonanno, A. M., & Zappalà, D. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.57.7383 · Cited by 26
Self-organizing criticality, large anomalous mass dimension and the gauge hierarchy problem
Bornholdt, S., & WETTERICH, C. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)90659-r · Cited by 26
Self-citationWilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry
Aoki, K.-I., Morikawa, K., Sumi, J.-I., Terao, H., & Tomoyose, M. (1999) · Progress of Theoretical Physics · doi:10.1143/ptp.102.1151 · Cited by 25
Integrating out Gluons in Flow EquationsPreprint
Wetterich, C. (1996) · Cited by 25
Self-citationA Consistent Calculation of Bubble-Nucleation Rates
Strumia, A., & Tetradis, N. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 25
Self-citationOn the QCD phase transition at finite baryon density
Hsu, S. D. H., & Schwetz, M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00615-7 · Cited by 25
Gradient Flows From An Approximation To The Exact Renormalization Group *Preprint
Haagensen, P. E., Kubyshin, Y., Latorre, J. I., & Moreno, E. (1993) · Cited by 25
Bubble-nucleation rates for radiatively induced first-order phase transitions
Strumia, A., & Tetradis, N. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00285-0 · Cited by 24
Self-citationExact renormalization group study of fermionic theories
Comellas, J., Kubyshin, Y., & Moreno, E. F. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00102-8 · Cited by 24
Quart matter '99 — theoretical summary: What next?
Müller, B. (1999) · Nuclear Physics A · doi:10.1016/s0375-9474(99)85026-x · Cited by 24
Bubble-nucleation rates for cosmological phase transitions
Струмиа, А., & Tetradis, N. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/11/023 · Cited by 24
Self-citationIntegrating out gluons in flow equations
Wetterich, C. (1996) · Zeitschrift für Physik C · doi:10.1007/s002880050232 · Cited by 23
Self-citationThe Chiral Phase Transition at High Baryon Density from Nonperturbative Flow Equations
Berges, J., Jungnickel, D. U., & Wetterich, C. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 23
Self-citationModeling thermal fluctuations: phase mixing and percolation
Gleiser, M., Heckler, A. F., & Kolb, E. W. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)00621-7 · Cited by 23
Nonperturbative renormalization group approach for a scalar theory in higher-derivative gravity
Bonanno, A. M., & Zappalà, D. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.6135 · Cited by 23
Current Topics in Astrofundamental Physics
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Thermal equilibrium during the electroweak phase transition
Tetradis, N. (1993) · The European Physical Journal C · doi:10.1007/bf01565066 · Cited by 22
Self-citationThe linear meson model and chiral perturbation theory
Jungnickel, D.-U., & WETTERICH, C. (1998) · The European Physical Journal C · doi:10.1007/s100529800704 · Cited by 22
Self-citationRenormalization group flow equation at finite density
Meyer, J. P., Papp, G., Pirner, H. J., et al. (2000) · Physical Review C · doi:10.1103/physrevc.61.035202 · Cited by 22
Confinement, monopoles and Wilsonian effective action
Ulrich Ellwanger, A. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00542-2 · Cited by 21
Critical phenomena during a dimensional crossover
O’Connor, D., & Stephens, C. R. (1992) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/25/1/014 · Cited by 21
Bubble nucleation rates in first-order phase transitions
Cottingham, W. N., Kalafatis, D., & Mau, R. V. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.6788 · Cited by 20
Mass sensitivity of chiral symmetry restoration at finite temperature
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Self-citationPerturbative infrared finiteness of Yang-Mills theory from renormalization group flow
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Axial anomalies in gauge theory by exact renormalization group method
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Application of the heat-kernel method to the constituent quark model at finite temperature
Schaefer, B.-J., & Pirner, H.-J. (1997) · Nuclear Physics A · doi:10.1016/s0375-9474(97)00601-5 · Cited by 19
Quark Matter 99 Summary: Hadronic SignalsPreprint
Stock, R. (1999) · Cited by 19
COLEMAN-WEINBERG PHASE TRANSITION IN TWO-SCALAR MODELSPreprint
Bornholdt, S., Tetradis, N., & WETTERICH, C. (1994) · Cited by 18
Self-citationCRITICAL BUBBLES AND FLUCTUATIONS AT THE ELECTROWEAK PHASE TRANSITIONPreprint
Kripfganz, J., Laser, A., & Schmidt, M. G. (1994) · Cited by 18
The Region of Validity of Homogeneous Nucleation TheoryPreprint
Струмиа, А., Tetradis, N., & WETTERICH, C. (1998) · Cited by 17
Self-citationAverage action for models with fermions
Bornholdt, S., & WETTERICH, C. (1993) · The European Physical Journal C · doi:10.1007/bf01553018 · Cited by 17
Self-citationEXACT RENORMALIZATION GROUP EQUATIONS FOR THE AVERAGE ACTION AND SYSTEMATIC EXPANSIONS
WETTERICH, C. (1994) · International Journal of Modern Physics A · doi:10.1142/s0217751x94001436 · Cited by 17
Self-citationOn the physical branch of the exact (local) RG equation
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Dynamical viscosity of nucleating bubbles
Alamoudi, S. M., Barci, D. G., Boyanovsky, D., de Carvalho, C. A. A., Fraga, E. S., Jorás, S. E., & Takakura, F. I. (1999) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.60.125003 · Cited by 17
Chiral gauge theories and anomalies in the Wilson renormalization group approach
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Chiral symmetry restoration at finite temperature in the linear sigma-model
Metzger, D., Meyer‐Ortmanns, H., & Pirner, H. J. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90328-x · Cited by 15
Monte Carlo computation of the effective potential for the three dimensional Ising system
Kim, J. K., & Landau, D. P. (1997) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(96)00760-8 · Cited by 15
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Non-Perturbative Renormalization Group and Renormalizability of Gauged NJL Model
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Dimensional crossover and effective exponents
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Ulrich Ellwanger, A. (1999) · The European Physical Journal C · doi:10.1007/s100529801033 · Cited by 14
Testing nucleation theory in two dimensions
Strumia, A., & Tetradis, N. (1999) · Nuclear Physics B · doi:10.1016/s0550-3213(99)00455-1 · Cited by 14
Self-citationWilson Renormalization Group Equations for the Critical Dynamics of Chiral SymmetryPreprint
Aoki, K.-I., Morikawa, K., Sumi, J.-I., Terao, H., & Tomoyose, M. (1999) · Cited by 14
Study of a local RG approximation
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Radiatively-Induced First-Order Phase Transitions: The Necessity of the Renormalization Group
Alford, M., & March-Russell, J. (1993) · CERN Document Server (European Organization for Nuclear Research) · Cited by 14
Renormalization-group study of weakly first-order phase transitions
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Self-citationTUNNELING AND NUCLEATION RATE IN THE $(\frac{\lambda}{4!} \phi^4 +\frac{\sigma}{6!} \phi^6)_3$ MODEL
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CRITICAL TEMPERATURE AND AMPLITUDE RATIOS FROM A FINITE TEMPERATURE RENORMALIZATION GROUP
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Non-perturbative renormalization group for field theories with scalars and fermions
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ERRATA: "ENVIRONMENTALLY FRIENDLY" RENORMALIZATION
O’Connor, D., & Stephens, C. R. (1994) · International Journal of Modern Physics A · doi:10.1142/s0217751x94002454 · Cited by 13
On the QCD Phase Transition at Finite Baryon DensityPreprint
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Quark masses from the linear meson model
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Self-citationConsistency of blocking transformations in the finite-temperature renormalization group
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Critical indices to O(1/n2) for a three dimensional system with short range forces
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Hard-soft renormalization and the exact renormalization group
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SYSTEMATIC RESUMMED PERTURBATION THEORY
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Self-citationApplication of the Heat Kernel Method to the Constituent Quark Model at Finite TemperaturePreprint
Schaefer, B.-J., & Pirner, H.-J. (1997) · Cited by 11
Bubble-Nucleation Rates for Radiatively Induced First-Order Phase TransitionsPreprint
Струмиа, А., & Tetradis, N. (1998) · Cited by 10
Self-citationTHE CHIRAL PHASE TRANSITION IN QCD: CRITICAL PHENOMENA AND LONG WAVELENGTH PION OSCILLATIONS
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Role of fermions in bubble nucleation
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Strong-coupling expansions for chiral models of electroweak symmetry breaking
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What can we learn from the finite temperature renormalization group?
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CHIRAL SYMMETRY RESTORATION IN THE LINEAR SIGMA MODEL
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Renormalization-group calculation of critical exponents for three-dimensional Ising-like systems
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Testing Nucleation Theory in Two Dimensions
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Self-citationSolution of exact (local) renormalization-group equation
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Comparison of renormalization-group and lattice studies of the electroweak phase transition
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Mass generation at finite temperature
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Metadata
- Authors
- Berges, J., Tetradis, N., & Wetterich, C.
- Affiliations
- Massachusetts Institute of Technology (US)
- Scuola Normale Superiore (IT)
- Heidelberg University (DE)
- Corresponding author
- Berges, Jürgen
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2002-06
- Volume
- 363
- Issue
- 4-6
- Pages
- 223-386
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2038076545
- Cited by
- 1,548
- References
- 334
- Citations by year
- 2026: 43 · 2025: 70 · 2024: 62 · 2023: 67 · 2022: 92 · 2021: 112 · 2020: 85 · 2019: 85 · 2018: 77 · 2017: 81 · 2016: 81 · 2015: 68 · 2014: 67 · 2013: 69 · 2012: 91
- FWCI
- 21.13
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Reports (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- exact renormalization group, effective average action, coarse-graining, infrared cutoff, critical phenomena, second-order phase transition, Kosterlitz-Thouless transition, liquid-gas phase transition, first-order phase transition, nucleation rate, quantum statistics, thermal field theory, spontaneous symmetry breaking, chiral symmetry breaking, chiral phase transition
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