A Study of the Bulk Phase Transitions of the SU(2) Lattice Gauge Theory with Mixed Action

Abstract

Using the finite size scaling theory, we re-examine the nature of the bulk phase transition in the fundamental-adjoint coupling plane of the SU(2) lattice gauge theory at ${\beta }_A=1.25$ where previous finite size scaling investigations of the deconfinement phase transition showed it to be of first order for temporal lattices with four sites. Our simulations on $N^4$ lattices with N=6, 8, 10, 12 and 16 show an absence of a first order bulk phase transition. We find the discontinuity in the average plaquette to decrease approximately linearly with $N$. Correspondingly, the plaquette susceptibility grows a lot slower with the 4-volume of the lattice than expected from a first order bulk phase transition.

LaTeX, 17 Pages; 7 Postscript Figures appended

References in corpus (3)

• Finite Temperature Phase Transition in SU(2) Lattice Gauge Theory with Extended Action
• Universality and the Deconfinement Phase Transition in SU(2) Lattice Gauge Theory
• Thermal Phase Transition in Mixed Action SU(3) Lattice Gauge Theory and Wilson Fermion Thermodynamics

Cited by in corpus (9)

• Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
• Z_2 Monopoles, Vortices and the Universality of the SU(2) Deconfinement Transition
• Stability of the Bulk Phase Diagram of the SU(2) Lattice Gauge Theory with Fundamental - Adjoint Action
• Critical or tricritical point in mixed-action SU(2) lattice gauge theory?
• Physical and unphysical effects in the mixed SU(2)/SO(3) gauge theory
• Exact solution of a Z(4) gauge Potts model on planar lattices
• Suppressing monopoles and vortices : A possibly smoother approach to scaling ?
• Scaling properties of SU(2) gauge theory with mixed fundamental-adjoint action
• A smoother approach to scaling by suppressing monopoles and vortices