Symmetry behavior at finite temperature Export

@article{citeulike:753144, abstract = {Spontaneous symmetry breaking at finite temperature is studied. We show that for the class of theories discussed; symmetry is restored above a critical temperature \^{I}² c -1 . We determine \^{I}² c by a functional-diagrammatic evaluation of the effective potential and the effective mass. A formula for \^{I}² c is obtained in terms of the renormalized parameters of the theory. By examining a large subset of graphs; we show that the formula is accurate for weak coupling. An approximate gap equation is derived whose solutions describe the theory near the critical point. For gauge theories; special attention is given to ensure gauge invariance of physical quantities. When symmetry is violated dynamically; it is argued that no critical point exists.}, author = {Dolan, L. and Jackiw, R.}, citeulike-article-id = {753144}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevD.9.3320}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRD/v9/i12/p3320_1}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRD/v9/i12/p3320_1}, day = {15}, doi = {10.1103/PhysRevD.9.3320}, journal = {Physical Review D}, keywords = {breaking, finite, symmetry, temperature}, month = {June}, number = {12}, pages = {3320+}, posted-at = {2006-07-12 00:12:48}, priority = {2}, publisher = {American Physical Society}, title = {Symmetry behavior at finite temperature}, url = {http://dx.doi.org/10.1103/PhysRevD.9.3320}, volume = {9}, year = {1974} }

TY - JOUR ID - citeulike:753144 L3 - citeulike-article-id:753144 N2 - Spontaneous symmetry breaking at finite temperature is studied. We show that for the class of theories discussed; symmetry is restored above a critical temperature β c -1 . We determine β c by a functional-diagrammatic evaluation of the effective potential and the effective mass. A formula for β c is obtained in terms of the renormalized parameters of the theory. By examining a large subset of graphs; we show that the formula is accurate for weak coupling. An approximate gap equation is derived whose solutions describe the theory near the critical point. For gauge theories; special attention is given to ensure gauge invariance of physical quantities. When symmetry is violated dynamically; it is argued that no critical point exists. IS - 12 JF - Physical Review D TI - Symmetry behavior at finite temperature PB - American Physical Society VL - 9 SP - 3320 KW - breaking KW - finite KW - symmetry KW - temperature AU - Dolan, L AU - Jackiw, R PY - 1974/06/15/ UR - http://dx.doi.org/10.1103/PhysRevD.9.3320 ER -