Strong-coupling expansions for chiral models of electroweak symmetry breaking

Abstract

We consider chiral $U(N)\times U(N)$ models with fermions in the limit of infinitely large local bare Yukawa coupling. When the scalar field is subject to non-linear constraint, phase transitions in these models are seen to be identical to those in the corresponding purely bosonic ones. Relaxing the non-linear constraint, we compute the seventh-order strong-coupling series for the susceptibility in these models and analyze them numerically for the $U(2)\times U(2)$ case. We find that in four dimensions the approach to the phase transition follows to a good accuracy the mean-field critical behavior, indicating the absence of non-trivial fixed points at strong coupling and being consistent with the first-order nature of the transition. In three dimensions, the strongly-coupled bosonic $U(2)\times U(2)$ model (without gauge fields) has a first-order transition strong enough to accommodate electroweak baryogenesis only for a narrow region of the bare parameter space.

11 pages, latex, no figures

References in corpus (6)

• Progress in Electroweak Baryogenesis
• The Coleman-Weinberg Mechanism and First Order Phase Transitions
• Critical Constraints on Chiral Hierarchies
• Chiral Hierarchies, Compositeness and the Renormalization Group
• New Universality Classes for Quantum Critical Behavior
• Stability of Fine Tuned Hierarchies in Strongly Coupled Chiral Models

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• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• The phase diagram of the $U(2)\times U(2)$ Sigma Model and its Implications for Chiral Hierarchies
• An analytic study of the tricritical line in the U(Nf)xU(Nf) sigma model