A construction of two-dimensional quantum chromodynamics
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Cites
Radon measures on arbitrary topological spaces and cylindrical measures
Schwartz, L. (1973) · Cited by 589 · see citing works
Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics
Seiler, E. (1982) · Springer eBooks · doi:10.1007/3-540-11559-5 · Cited by 436 · see citing works
The Geometry of the Orbit Space for Non-Abelian Gauge Theories
Singer, I. M. (1981) · Physica Scripta · doi:10.1088/0031-8949/24/5/002 · Cited by 131 · see citing works
The action of SU(N) lattice gauge theory in terms of the heat kernel on the group manifold
Menotti, P., & Onofri, E. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90560-5 · Cited by 107 · see citing works
Note on the lattice fermionic determinant
Stamatescu, I. O. (1982) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.25.1130 · Cited by 40 · see citing works
Continuum limit of QED2 on a lattice
Weingarten, D., & Challifour, J. L. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90265-3 · Cited by 38 · see citing works
King, C. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01221651 · Cited by 29 · see citing works
Eléments de Mathématique. Intégration
Bourbaki, N. (2006) · Springer eBooks · doi:10.1007/978-3-540-34391-2 · Cited by 8 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J., & Thiemann, T. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531252 · Cited by 528 · see citing works
(1995) · CERN Document Server (European Organization for Nuclear Research) · Cited by 412 · see citing works
Projective techniques and functional integration for gauge theories
Ashtekar, A., & Lewandowski, J. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531037 · Cited by 388 · see citing works
Differential geometry on the space of connections via graphs and projective limits
Ashtekar, A., & Lewandowski, J. (1995) · Journal of Geometry and Physics · doi:10.1016/0393-0440(95)00028-g · Cited by 303 · see citing works
YM2:Continuum expectations, lattice convergence, and lassos
Driver, B. K. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01218586 · Cited by 86 · see citing works
Two dimensional Yang-Mills theory via stochastic differential equations
Gross, L., King, C., & Sengupta, A. N. (1989) · Annals of Physics · doi:10.1016/0003-4916(89)90032-8 · Cited by 86 · see citing works
A Perspective on Constructive Quantum Field TheoryPreprint
Summers, S. J. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1203.3991 · Cited by 45 · see citing works
SU( N ) Quantum Yang–Mills theory in two dimensions: A complete solution
Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J., & Thiemann, T. (1997) · Journal of Mathematical Physics · doi:10.1063/1.532146 · Cited by 35 · see citing works
Chatterjee, S. (2019) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-15338-0_1 · Cited by 34 · see citing works
The leading term of the Yang–Mills free energy
Chatterjee, S. (2016) · Journal of Functional Analysis · doi:10.1016/j.jfa.2016.04.032 · Cited by 18 · see citing works
A State Space for 3D Euclidean Yang–Mills Theories
Cao, S., & Chatterjee, S. (2024) · Communications in Mathematical Physics · doi:10.1007/s00220-023-04870-y · Cited by 13 · see citing works
Gauge theory in two dimensions: Topological, geometric and probabilistic aspects
Sengupta, A. N. (2007) · doi:10.1142/9789812791559_0008 · Cited by 10 · see citing works
QCD1+1 with massless quarks and gauge covariant Sugawara construction
Edwin Langmann, A., & Semenoff, G. W. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)90310-7 · Cited by 10 · see citing works
A new type of loop independence and SU(N) quantum Yang–Mills theory in two dimensions
Fleischhack, C. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532717 · Cited by 7 · see citing works
An axiomatic approach to Quantum Gauge Field Theory
Thiemann, T. (1997) · Banach Center Publications · doi:10.4064/-39-1-389-403 · Cited by 6 · see citing works
On the Support of Physical Measures in Gauge TheoriesPreprint
Fleischhack, C. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.math-ph/0109030 · Cited by 5 · see citing works
Gauge Field Marginal of an Abelian Higgs Model
Chandra, A., & Chevyrev, I. (2024) · Communications in Mathematical Physics · doi:10.1007/s00220-024-05008-4 · Cited by 4 · see citing works
The Yang-Mills measure and symplectic structure over spaces of connections
Sengupta, A. N. (2001) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-8364-1_13 · Cited by 4 · see citing works
On Y M2 measures and area-preserving diffeomorphisms
Pickrell, D. (1996) · Journal of Geometry and Physics · doi:10.1016/0393-0440(95)00034-8 · Cited by 4 · see citing works
A new type of loop independence and SU(N) quantum Yang–Mills theory in two dimensions
Fleischhack, C. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533123 · Cited by 3 · see citing works
A geometric approach to the Yang-Mills mass gap
Mondal, P. (2023) · Journal of High Energy Physics · doi:10.1007/jhep12(2023)191 · Cited by 2 · see citing works
Non-Abelian lattice theories: Consistent measures and strata
Mendes, R. V. (2022) · International Journal of Modern Physics A · doi:10.1142/s0217751x22500579 · Cited by 1 · see citing works
Some stochastic techniques in quantization, new developments in Markov fields and quantum fields
Albeverio, S. A., & Zegarliński, B. (1990) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-3784-7_1 · Cited by 1 · see citing works
On the existence of the functional measure for 2D Yang-Mills theory
Budzyński, R. (1997) · Banach Center Publications · doi:10.4064/-39-1-225-229
Gauge Theory in Two Dimensions: Topological, Geometric and
Aspects, P., & Sengupta, A. N. (2007)
- Authors
- Klimek, S., & Kondracki, W.
- Affiliations
- University of Warsaw (PL)
- Institute of Mathematics (PL)
- Venue
- Communications in Mathematical Physics
- Published
- 1987-09
- Volume
- 113
- Issue
- 3
- Pages
- 389-402
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2077973576
- Cited by
- 25
- References
- 8
- Citations by year
- 2024: 2 · 2023: 1 · 2022: 1 · 2019: 1 · 2016: 1 · 2012: 1
- FWCI
- 0.81
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- 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 › Black Holes and Theoretical Physics
- Keywords
- two-dimensional quantum chromodynamics, SU(2) gauge theory, functional measure, Wilson loops, 1+1 dimensions
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
