Functional renormalization group of the nonlinear sigma model and the O(N) universality class

被引：22

作者：

Flore, Raphael ^{[1
]}

Wipf, Andreas ^{[1
]}

Zanusso, Omar ^{[2
]}

机构：

[1] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

[2] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 06期

关键词：

BACKGROUND-FIELD METHOD; EVOLUTION EQUATION; CRITICAL EXPONENTS; CRITICAL-BEHAVIOR; DIMENSIONS;

D O I：

10.1103/PhysRevD.87.065019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the renormalization group flow of the O(N) nonlinear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion, and the flow is obtained by combining the nonperturbative renormalization group and the background field method. We investigate the flow in three dimensions and analyze the phase structure for arbitrary N. While a nontrivial fixed point is present in a reduced truncation of the effective action and has critical properties that can be related to the well-known features of the O(N) universality class, one of the fourth-order operators destabilizes this fixed point and has to be discussed carefully. The results about the renormalization flow of the models will serve as a reference for upcoming simulations with the Monte Carlo renormalization group. DOI: 10.1103/PhysRevD.87.065019

引用

页数：13

共 50 条

[1] Dynamic universality class of Model C from the functional renormalization group
Mesterhazy, D.
Stockemer, J. H.
Palhares, L. F.
Berges, J.
[J]. PHYSICAL REVIEW B, 2013, 88 (17):
[2] ON THE RENORMALIZATION-GROUP ITERATION OF A 2-DIMENSIONAL HIERARCHICAL NONLINEAR O (N) SIGMA-MODEL
PORDT, A
REISZ, T
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1991, 55 (01): : 545 - 587
[3] The O(N) nonlinear sigma model in the functional Schrodinger picture
Kim, DK
Kim, CK
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (28): : 6029 - 6036
[4] Complex renormalization group flows for 2D nonlinear O(N) sigma models
Meurice, Y.
Zou, Haiyuan
[J]. PHYSICAL REVIEW D, 2011, 83 (05):
[5] RENORMALIZATION OF O(N) NONLINEAR SIGMA-MODEL ON A P-ADIC FIELD
OKADA, Y
UBRIACO, MR
[J]. PHYSICAL REVIEW LETTERS, 1988, 61 (17) : 1910 - 1913
[6] Scheme dependence and universality in the functional renormalization group
Codello, Alessandro
Demmel, Maximilian
Zanusso, Omar
[J]. PHYSICAL REVIEW D, 2014, 90 (02):
[7] Evidence for a novel shift-symmetric universality class from the functional renormalization group
Laporte, Cristobal
Locht, Nora
Pereira, Antonio D.
Saueressig, Frank
[J]. PHYSICS LETTERS B, 2023, 838
[8] THE TWO-DIMENSIONAL O(N) NONLINEAR SIGMA-MODEL - RENORMALIZATION AND EFFECTIVE ACTIONS
MITTER, PK
RAMADAS, TR
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 122 (04) : 575 - 596
[9] RENORMALIZATION-GROUP TREATMENT OF THE QUANTUM NONLINEAR SIGMA-MODEL
ELSTNER, N
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 87 (02): : 197 - 202
[10] RENORMALIZATION AND RENORMALIZATION-GROUP BEHAVIOR OF THE O(N) NON-LINEAR SIGMA-MODEL IN STOCHASTIC QUANTIZATION
OKANO, K
SCHULKE, L
[J]. NUCLEAR PHYSICS B, 1988, 295 (01) : 105 - 122

← 1 2 3 4 5 →