Simple non-perturbative resummation schemes beyond mean-field: case study for scalar ${\phi}^4$ theory in 1+1 dimensions

DOI10.1007/JHEP03(2019)149zbMath1414.81218arXiv1901.05483MaRDI QIDQ2421145

Paul Romatschke

Publication date: 8 June 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05483

zbMATH Keywords

field theories in lower dimensionsnonperturbative effectsresummation

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Thermal quantum field theory (81T28)

Related Items (6)

Perturbative thermal QCD: formalism and applications ⋮ Nonperturbative matching between equal-time and lightcone quantization ⋮ Quantum phase transitions in a bidimensional \(O(N)\times\mathbb{Z}_2\) scalar field model ⋮ What if \(\phi^4\) theory in 4 dimensions is non-trivial in the continuum? ⋮ Determining all thermodynamic transport coefficients for an interacting large N quantum field theory ⋮ The breakdown of resummed perturbation theory at high energies

Uses Software

• GitHub
• Resummation

Cites Work

• Mean distribution approach to spin and gauge theories
• Basics of thermal field theory. A tutorial on perturbative computations
• Critical Ising model in varying dimension by conformal bootstrap
• Nonlinear symmetries of perfectly invisible \textit{PT}-regularized conformal and superconformal mechanics systems
• Random phase approximation and extensions applied to a bosonic field theory
• \(\lambda\theta^4\) theory.I: The symmetric phase beyond NNNNNNNNLO
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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