Onset of symmetry breaking by the functional RG method

Abstract

A numerical algorithm is used to solve the bare and the effective potential for the scalar ${\varphi }^4$ model in the local potential approximation. An approximate dynamical Maxwell-cut is found which reveals itself in the degeneracy of the action for modes at some scale. This result indicates that the potential develop singular field dependence as far as one can see it by an lgorithm of limited numerical accuracy

19 pages, 10 figures, accepted version. To appear in International Journal of Modern Physics A

References in corpus (5)

• Exact evolution equation for the effective potential
• Quantum censorship in two dimensions
• Convexity of the effective action from functional flows
• Structure of the broken phase of the sine-Gordon model using functional renormalization
• Renormalization-Group flow for the field strength in scalar self-interacting theories

Cited by in corpus (18)

• Lectures on renormalization and asymptotic safety
• Infrared fixed point in quantum Einstein gravity
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows
• Quantum censorship in two dimensions
• Maxwell Construction for Scalar Field Theories with Spontaneous Symmetry Breaking
• The ordered phase of $O(N)$ model within the Non-Perturbative Renormalization Group
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Structure of the broken phase of the sine-Gordon model using functional renormalization
• Quantum renormalization group
• Degeneracy induced scaling of the correlation length for periodic models
• Interplay of fixed points in scalar models
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Euclidean scalar field theory in the bi-local approximation
• Renormalization of QCD_2
• Quantum-classical transition in the Caldeira-Leggett model
• Spontaneous symmetry breaking and linear effective potentials
• On the Lorentz symmetry in conformally reduced Quantum Gravity