Finite size scaling and triviality of ϕ^4 theory on an antiperiodic torus

Abstract

Worm methods to simulate the Ising model in the Aizenman random current representation including a low noise estimator for the connected four point function are extended to allow for antiperiodic boundary conditions. In this setup several finite size renormalization schemes are formulated and studied with regard to the triviality of ϕ^4 theory in four dimensions. With antiperiodicity eliminating the zero momentum Fourier mode a closer agreement with perturbation theory is found compared to the periodic torus.

20 pages, 3 double-figures, 6 tables

References in corpus (5)

• Worm algorithms for classical statistical models
• Monte Carlo errors with less errors
• 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

Cited by in corpus (16)

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• Triviality of ${\phi }^4$ theory in a finite volume scheme adapted to the broken phase
• Spectroscopy in finite density lattice field theory: An exploratory study in the relativistic Bose gas
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• Simulating the All-Order Strong Coupling Expansion V: Ising Gauge Theory
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• Remarks on the construction of worm algorithms for lattice field theories in worldline representation
• New techniques and results for worldline simulations of lattice field theories
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