Towards far-from-equilibrium quantum field dynamics: A functional renormalisation-group approach

被引:61
作者
Gasenzer, Thomas [1 ]
Pawlowski, Jan M. [1 ]
机构
[1] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
关键词
D O I
10.1016/j.physletb.2008.10.049
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Dynamic equations for quantum fields far from equilibrium are derived by use of functional renormalisation group techniques. The obtained equations are non-perturbative and lead substantially beyond mean-field and quantum Boltzmann type approximations. The approach is based on a regularised version of the generating functional for correlation functions where times greater than a chosen cutoff time are suppressed. As a central result, a time evolution equation for the non-equilibrium effective action is derived, and the time evolution of the Green functions is computed within a vertex expansion. It is shown that this agrees with the dynamics derived from the 1/N-expansion of the two-particle irreducible effective action. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:135 / 140
页数:6
相关论文
共 60 条
[1]   Far-from-equilibrium dynamics with broken symmetries from the 1/N expansion of the 2PI effective action -: art. no. 045008 [J].
Aarts, G ;
Ahrensmeier, D ;
Baier, R ;
Berges, J ;
Serreau, J .
PHYSICAL REVIEW D, 2002, 66 (04)
[2]   Classical aspects of quantum fields far from equilibrium [J].
Aarts, G ;
Berges, J .
PHYSICAL REVIEW LETTERS, 2002, 88 (04) :416031-416034
[3]   Nonequilibrium dynamics in the O(N) model to next-to-next-to-leading order in the 1/N expansion [J].
Aarts, Gert ;
Tranberg, Anders .
PHYSICAL REVIEW D, 2006, 74 (02)
[4]   Critical phenomena from the two-particle irreducible 1/N expansion -: art. no. 125002 [J].
Alford, M ;
Berges, J ;
Cheyne, JM .
PHYSICAL REVIEW D, 2004, 70 (12) :125002-1
[5]  
[Anonymous], J COSMOL ASTROPART P
[6]   Tachyonic preheating using 2PI-1/N dynamics and the classical approximation [J].
Arrizabalaga, A ;
Smit, J ;
Tranberg, A .
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (10) :317-349
[7]   Exact renormalization group equations: an introductory review [J].
Bagnuls, C ;
Bervillier, C .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 348 (1-2) :91-157
[8]   Parametric resonance in quantum field theory [J].
Berges, J ;
Serreau, J .
PHYSICAL REVIEW LETTERS, 2003, 91 (11)
[9]   Controlled nonperturbative dynamics of quantum fields out of equilibrium [J].
Berges, J .
NUCLEAR PHYSICS A, 2002, 699 (3-4) :847-886
[10]   Thermalization of fermionic quantum fields [J].
Berges, J ;
Borsányi, S ;
Serreau, J .
NUCLEAR PHYSICS B, 2003, 660 (1-2) :51-80