Gauge and global symmetries at high temperature Export

@article{citeulike:753148, abstract = {It is shown how finite-temperature effects in a renormalizable quantum field theory can restore a symmetry which is broken at zero temperature. In general; for both gauge symmetries and ordinary symmetries; such effects occur only through a temperature-dependent change in the effective bare mass of the scalar bosons. The change in the boson bare mass is calculated for general field theories; and the results are used to derive the critical temperatures for a few special cases; including gauge and nongauge theories. In one case; it is found that a symmetry which is unbroken at low temperature can be broken by raising the temperature above a critical value. An appendix presents a general operator formalism for dealing with higher-order effects; and it is observed that the one-loop diagrams of field theory simply represent the contribution of zero-point energies to the free energy density. The cosmological implications of this work are briefly discussed.}, author = {Weinberg, Steven}, citeulike-article-id = {753148}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevD.9.3357}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRD/v9/i12/p3357_1}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRD/v9/i12/p3357_1}, day = {15}, doi = {10.1103/PhysRevD.9.3357}, journal = {Physical Review D}, keywords = {breaking, finite, symmetry, temperature}, month = {June}, number = {12}, pages = {3357+}, posted-at = {2006-07-12 00:14:07}, priority = {3}, publisher = {American Physical Society}, title = {Gauge and global symmetries at high temperature}, url = {http://dx.doi.org/10.1103/PhysRevD.9.3357}, volume = {9}, year = {1974} }

TY - JOUR ID - citeulike:753148 L3 - citeulike-article-id:753148 N2 - It is shown how finite-temperature effects in a renormalizable quantum field theory can restore a symmetry which is broken at zero temperature. In general; for both gauge symmetries and ordinary symmetries; such effects occur only through a temperature-dependent change in the effective bare mass of the scalar bosons. The change in the boson bare mass is calculated for general field theories; and the results are used to derive the critical temperatures for a few special cases; including gauge and nongauge theories. In one case; it is found that a symmetry which is unbroken at low temperature can be broken by raising the temperature above a critical value. An appendix presents a general operator formalism for dealing with higher-order effects; and it is observed that the one-loop diagrams of field theory simply represent the contribution of zero-point energies to the free energy density. The cosmological implications of this work are briefly discussed. IS - 12 JF - Physical Review D TI - Gauge and global symmetries at high temperature PB - American Physical Society VL - 9 SP - 3357 KW - breaking KW - finite KW - symmetry KW - temperature AU - Weinberg, Steven PY - 1974/06/15/ UR - http://dx.doi.org/10.1103/PhysRevD.9.3357 ER -