Exact solutions and residual regulator dependence in functional renormalisation group flows

L. Dabelow, H. Gies, and B. Knorr, Momentum dependence of quantum critical Dirac systems, Phys. Rev. D 99

Original

1903

Earlier work this paper cites.

I. Balog, H. Chaté, B. Delamotte, M. Marohnic, and N. Wschebor, Convergence of Nonperturbative Approximations to the Renormalization Group, Phys. Rev. Lett. 123

Original

1907

Earlier work this paper cites.

K. G. Wilson, Nonlagrangian models of current algebra, Phys. Rev. 179

1969

Earlier work this paper cites.

J. Zinn-Justin, Quantum field theory and critical phenomena , Vol. 77 (1989)

1989

Earlier work this paper cites.

J. A. Gracey, Three loop calculations in the O(N) Gross-Neveu model, Nucl. Phys. B341

1990

Earlier work this paper cites.

J. A. Gracey, Computation of the three loop Beta function of the O(N) Gross-Neveu model in minimal subtraction, Nucl. Phys. B367

1991

Earlier work this paper cites.

C. Luperini and P. Rossi, Three loop Beta function(s) and effective potential in the Gross-Neveu model, Annals Phys. 212

1991

Earlier work this paper cites.

C. Wetterich, Exact evolution equation for the effective potential, Phys.Lett. B301

1993

Earlier work this paper cites.

B. Rosenstein, H.-L. Yu, and A. Kovner, Critical exponents of new universality classes, Phys. Lett. B314

1993

Earlier work this paper cites.

T. R. Morris, The Exact renormalization group and approximate solutions, Int. J. Mod. Phys. A9

1994

Earlier work this paper cites.

L. Karkkainen, R. Lacaze, P. Lacock, and B. Petersson, Critical behavior of the 3-d Gross-Neveu and Higgs-Yukawa models, Nucl.Phys. B415

1994

Earlier work this paper cites.

D. F. Litim, Optimization of the exact renormalization group, Phys.Lett. B486

2000

Earlier work this paper cites.

D. F. Litim, Optimized renormalization group flows, Phys.Rev. D64

2001

Earlier work this paper cites.

C. Fleming, B. Delamotte, and S. Yabunaka, Finite N N origin of the Bardeen-Moshe-Bander phenomenon and its extension at N = ∞ N=\infty by singular fixed points, Phys. Rev. D 102

Original

2001

Earlier work this paper cites.

G. De Polsi, I. Balog, M. Tissier, and N. Wschebor, Precision calculation of critical exponents in the O ⁡ ( N ) O(N) universality classes with the nonperturbative renormalization group, Phys. Rev. E 101

Original

2001

Earlier work this paper cites.

C. Pagani and H. Sonoda, Operator product expansion coefficients in the exact renormalization group formalism, Phys. Rev. D 101

Original

2001

Earlier work this paper cites.

J. Berges, N. Tetradis, and C. Wetterich, Nonperturbative renormalization flow in quantum field theory and statistical physics, Phys. Rept. 363

2002

Earlier work this paper cites.

A. Pelissetto and E. Vicari, Critical phenomena and renormalization group theory, Phys.Rept. 368

2002

Earlier work this paper cites.

M. Moshe and J. Zinn-Justin, Quantum field theory in the large N limit: A Review, Phys. Rept. 385

2003

Earlier work this paper cites.

I. Balog, G. De Polsi, M. Tissier, and N. Wschebor, Conformal invariance in the nonperturbative renormalization group: a rationale for choosing the regulator, Phys. Rev. E 101

Original

2004

Earlier work this paper cites.

J. Lenz, L. Pannullo, M. Wagner, B. Wellegehausen, and A. Wipf, Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors, Phys. Rev. D 101

Original

2004

Earlier work this paper cites.

J. M. Pawlowski, Aspects of the functional renormalisation group, Annals Phys. 322

2007

Earlier work this paper cites.

J. J. Lenz, L. Pannullo, M. Wagner, B. Wellegehausen, and A. Wipf, Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors, arXiv:2007.08382 [hep-lat] (2020b)

Original

2007

Cited alongside, same era.

F. Benitez, J.-P. Blaizot, H. Chate, B. Delamotte, R. Mendez-Galain, and N. Wschebor, Solutions of renormalization group flow equations with full momentum dependence, Phys.Rev. E80

Original

2009

Cited alongside, same era.

J. Braun, H. Gies, and D. D. Scherer, Asymptotic safety: a simple example, Phys.Rev. D83

Original

2011

Cited alongside, same era.

H. Gies, Introduction to the functional RG and applications to gauge theories, Lect.Notes Phys. 852

2012

Cited alongside, same era.

B. Delamotte, An Introduction to the nonperturbative renormalization group, Lect.Notes Phys. 852

J. A. Gracey, T. Luthe, and Y. Schroder, Four loop renormalization of the Gross-Neveu model, Phys. Rev. D94

Original

2016

Later among the works it cites.

J. Borchardt, H. Gies, and R. Sondenheimer, Global flow of the Higgs potential in a Yukawa model, Eur. Phys. J. C76

Original

2016

Later among the works it cites.

J. M. Pawlowski, M. M. Scherer, R. Schmidt, and S. J. Wetzel, Physics and the choice of regulators in functional renormalisation group flows, Annals Phys. 384

Original

2017

Later among the works it cites.

S. Yabunaka and B. Delamotte, Surprises in O ⁡ ( N ) O(N) Models: Nonperturbative Fixed Points, Large N N Limits, and Multicriticality, Phys. Rev. Lett. 119

Original

2017

Later among the works it cites.

D. F. Litim and E. Marchais, Critical O ⁡ ( N ) O(N) models in the complex field plane, Phys. Rev. D 95