TY - JOUR
T1 - Breaking of scale invariance in π6 theory
T2 - Tricriticality and critical end-points
AU - Amit, Daniel J.
AU - Rabinovici, Eliezer
PY - 1985
Y1 - 1985
N2 - We show how the breaking of scale invariance, recently observed in the large-N limit of π36 by Bardeen, Moshe and Bander, manifests itself in dimensional regularization. In the process we trace the full phase diagram of the system below d = 3, where tricriticality is always replaced by critical end-points. The appearance of a non-trivial β-function is discussed in the context of perturbation theory, though the effect is non-perturbative. In three dimensions the effective potential is flat in the broken phase, the vacuum energy is thus zero in both phases.
AB - We show how the breaking of scale invariance, recently observed in the large-N limit of π36 by Bardeen, Moshe and Bander, manifests itself in dimensional regularization. In the process we trace the full phase diagram of the system below d = 3, where tricriticality is always replaced by critical end-points. The appearance of a non-trivial β-function is discussed in the context of perturbation theory, though the effect is non-perturbative. In three dimensions the effective potential is flat in the broken phase, the vacuum energy is thus zero in both phases.
UR - http://www.scopus.com/inward/record.url?scp=33644764344&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(85)90351-7
DO - 10.1016/0550-3213(85)90351-7
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AN - SCOPUS:33644764344
SN - 0550-3213
VL - 257
SP - 371
EP - 382
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - C
ER -