Instantons, analytic continuation, and PT-symmetric field theory

Article Physics, Particles & Fields

A fully solvable model of fermionic interaction in 3+1d

Seth Grable et al.

Summary: Recently, Romatschke found that the poles in O(N) scalar theories do not affect observables such as temperature and pressure. This result holds for marginal, relevant, and irrelevant operators in 3 + 1d O(N) scalar theories. In this study, we continue to explore large-N fermi-interactions in 3 + 1d and propose a model of marginally coupled fermi-interactions that is fully renormalizable at large-N. Our theory contains poles in the running coupling, but we argue that these poles do not impact any physical observables. Additionally, our theory exhibits a first order phase transition separating stable, meta-stable, and unstable phases.

JOURNAL OF HIGH ENERGY PHYSICS (2023)

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Article Physics, Multidisciplinary

Functional renormalization group for non-Hermitian and PT-symmetric systems

Lukas Grunwald et al.

Summary: We generalize the vertex expansion approach of the functional renormalization group to non-Hermitian systems and study its merits and shortcomings using a solvable non-linear toy model. We find that the fidelity of the vertex expansion in a perturbatively motivated truncation schema is comparable with that of the Hermitian case, indicating its potential as a viable method for studying correlation effects in non-Hermitian systems.

SCIPOST PHYSICS (2022)

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Article Astronomy & Astrophysics

PT-symmetric -gφ4 theory

Wen-Yuan Ai et al.

Summary: This paper investigates the scalar field theory in a non-Hermitian PT-symmetric framework and proposes a unified formulation. A conjectural relation between the partition functions of the non-Hermitian theory and a Hermitian theory is proposed to ensure a real energy spectrum.

PHYSICAL REVIEW D (2022)

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Article Astronomy & Astrophysics

PT symmetric fermionic field theories with axions: Renormalization and dynamical mass generation

N. E. Mavromatos et al.

Summary: The paper investigates the renormalization properties of non-Hermitian Yukawa theories involving a pseudoscalar (axion) field at or near four dimensions. It discusses the characteristics of coupling constants, Feynman rules, and fixed point structure, demonstrating the flow from Hermitian to non-Hermitian fixed points and discussing real solutions of a self-consistent Nambu-Jona-Lasinio gap equation from the one-loop renormalization of a massive Yukawa theory.

PHYSICAL REVIEW D (2022)

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Article Computer Science, Interdisciplinary Applications

Adaptive multidimensional integration: VEGAS enhanced

G. Peter Lepage

Summary: The VEGAS+ algorithm is more accurate than VEGAS in certain cases, especially for integrands with multiple peaks or structures aligned with diagonals of the integration volume. It can be combined with other integrators for better performance.

JOURNAL OF COMPUTATIONAL PHYSICS (2021)

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Article Physics, Particles & Fields