Triviality of ${\phi }^4$ theory in a finite volume scheme adapted to the broken phase

Abstract

We study the standard one-component ${\phi }^4$-theory in four dimensions. A renormalized coupling is defined in a finite size renormalization scheme which becomes the standard scheme of the broken phase for large volumes. Numerical simulations are reported using the worm algorithm in the limit of infinite bare coupling. The cutoff dependence of the renormalized coupling closely follows the perturbative Callan Symanzik equation and the triviality scenario is hence further supported.

arXiv comment10 pages, 2 figures

References in corpus (7)

• Worm algorithms for classical statistical models
• Simulating the All-Order Strong Coupling Expansion I: Ising Model Demo
• Precision check on triviality of phi^4 theory by a new simulation method
• Triviality of ${\varphi }_4^4$ theory: small volume expansion and new data
• Finite size scaling and triviality of ϕ^4 theory on an antiperiodic torus
• Worm Algorithm for Problems of Quantum and Classical Statistics
• Regularization dependence of the Higgs mass triviality bound

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• New techniques and results for worldline simulations of lattice field theories
• Remarks on the construction of worm algorithms for lattice field theories in worldline representation
• Continuum limit of the Green function in scaled affine ${\phi }_4^4$ quantum Euclidean covariant relativistic field theory
• Exploring Higgs boson Yukawa interactions with a scalar singlet using Dyson-Schwinger equations
• The $O(4)$ ${\varphi }^4$ model as an effective light meson theory: A lattice-continuum comparison
• Two Higgs Doublet Model with Scalar Mediation via Yukawa Interactions
• Dynamical Mass Generation in Wick Cutkosky Model
• Scaled Affine Quantization of ${\phi }_4^4$ in the Low Temperature Limit