Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental Bosons

Abstract

Here we study the Renormalization group flow of $SU(N)\times U(1)$ gauge theory with $M$-fundamental bosons in $4-\epsilon$ dimension by calculating the beta functions. We found a new stable fixed point in the zero mass plane for $M>M_{\text{crit}}$ by expanding upto $O(\epsilon )$. This indicates a second order phase transition. We also calculated the critical exponents in both $\epsilon$ expansion and also in the large-$M$ expansion.

arXiv comment14 PAGES

References in corpus (17)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• A Lattice Monte Carlo Study of the Hot Electroweak Phase Transition
• Phase Diagram of Superconductors from Non-Perturbative Flow Equations
• The SU(N) Heisenberg model on the square lattice: a continuous-N quantum Monte Carlo study
• Critical Exponents of the Superconducting Phase Transition
• Topology and Nematic Ordering I: A Gauge Theory
• Corrections to scaling in the critical theory of deconfined criticality
• The $\epsilon$-expansion and the electroweak phase transition
• Quantum spin nematics, dimerization, and deconfined criticality in quasi-one dimensional spin-1 magnets
• Ground States of the SU(N) Heisenberg Model
• The Electroweak Phase Transition through the Renormalization Group
• PHASE TRANSITION OF N-COMPONENT SUPERCONDUCTORS
• A non-abelian spin-liquid in a spin-1 quantum magnet
• The tricritical point of finite-temperature phase transitions in large N(Higgs) gauge theories
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model

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