Critical mass renormalization in renormalized phi4 theories in two and three dimensions

Abstract

We consider the O(N)-symmetric phi4 theory in two and three dimensions and determine the nonperturbative mass renormalization needed to obtain the phi4 continuum theory. The required nonperturbative information is obtained by resumming high-order perturbative series in the massive renormalization scheme, taking into account their Borel summability and the known large-order behavior of the coefficients. The results are in good agreement with those obtained in lattice calculations.

4 pages

References in corpus (3)

• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Monte Carlo determination of the critical coupling in ${\varphi }_2^4$ theory

Cited by in corpus (17)

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• NLO Renormalization in the Hamiltonian Truncation
• Tensor network analysis of critical coupling in two dimensional ${\varphi }^4$ theory
• High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation
• $\lambda {\varphi }^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO
• Monte Carlo determination of the critical coupling in ${\varphi }_2^4$ theory
• $\lambda {\varphi }^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO
• New MC determination of the critical coupling in ${\varphi }_2^4$ theory
• Hamiltonian Truncation Effective Theory
• One-loop renormalization of a gravity-scalar system
• Nonperturbative infrared finiteness in super-renormalisable scalar quantum field theory
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• Tadpoles and vacuum bubbles in light-front quantization
• Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis