The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Exact renormalization group equations: an introductory review
Open accessAbstract
We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the derivative expansion. The leading order of this expansion appears as an excellent textbook example to underline the nonperturbative features of the Wilson renormalization group theory. We limit ourselves to the consideration of the scalar field (this is why it is an introductory review) but the reader will find (at the end of the review) a set of references to existing studies on more complex systems.
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Citations
Cites
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272
THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
MORRIS, T. R. (1994) · International Journal of Modern Physics A · doi:10.1142/s0217751x94000972 · Cited by 1,064
Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking
Hooft, G. ’. (1980) · Recent Developments in Gauge Theories · doi:10.1007/978-1-4684-7571-5_9 · Cited by 1,030 · cited 1×
“A different concept of naturalness, brought up with a view to eliminate non asymptotically free field theories, would be that [125] “the effective interactions (· · ·) at a low energy scale μ1 should follow from the properties (· · ·) at a much higher energy scale μ2 without the requirement that various different para…”
Background
Cited by
Optimized renormalization group flows
Litim, D. F. (2001) · Physical Review D · doi:10.1103/physrevd.64.105007 · Cited by 784
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
Ultraviolet fixed point and generalized flow equation of quantum gravity
Lauscher, O., & Reuter, M. (2001) · Physical Review D · doi:10.1103/physrevd.65.025013 · Cited by 438
Metadata
- Authors
- Bagnuls, C., & Bervillier, C.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2001-07
- Volume
- 348
- Issue
- 1-2
- Pages
- 91-157
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W1992072540
- Cited by
- 438
- References
- 3
- FWCI
- 11.45
- Type
- journal article
- Language
- en
- Open access
- green
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