Finite size effects in the phase transition patterns of coupled scalar field systems

Abstract

It is considered in this work the phase transition patterns for a coupled two-scalar field system model under the combined effects of finite sizes and temperature. The scalar fields are taken as propagating in a D=4 Euclidean space with the usual periodic compactification in the Euclidean time direction (with dimension given by the inverse of the temperature) and also under a compact dimension in the space direction, which is restricted to size L. In the latter case, a Dirichlet boundary condition is considered. Finite-size variation of the critical temperature for the cases of symmetry restoration and inverse symmetry breaking are studied. At fixed finite-temperature values, the variation of the inverse correlation lengths with the size L might display a behavior analogous to reentrant phase transitions. Possible applications of our results to physical systems of interest are also discussed.

19 pages, 8 figures. Many clarifications added. Version matching the published one in the Physical Review D

References in corpus (19)

• Do nuclear collisions create a locally equilibrated quark-gluon plasma?
• Singlet-assisted electroweak phase transition at two loops
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Robust approach to thermal resummation: Standard Model meets a singlet
• Quantum field theory on toroidal topology: algebraic structure and applications
• The unusual thickness dependence of superconductivity in $\alpha$-MoGe thin films
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Beyond freeze-in: Dark Matter via inverse phase transition and gravitational wave signal
• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Critical temperature for kaon condensation in color-flavor locked quark matter
• A model of persistent breaking of continuous symmetry
• First-order phase transitions in superconducting films: A Euclidean model
• Symmetry breaking at high temperatures in large N gauge theories
• Inverse Symmetry Breaking in Multi-Scalar Field Theories
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• The puzzle of bicriticality in the XXZ antiferromagnet
• Symmetry Aspects in Nonrelativistic Multi-Scalar Field Models and Application to a Coupled Two-Species Dilute Bose Gas
• Quantum phase transitions in a bidimensional $O(N)\times {\mathbb{Z}}_2$ scalar field model
• Phase transition patterns for coupled complex scalar fields at finite temperature and density

Cited by in corpus (1)

• Generalized Neumann boundary condition for the scalar field