What if ϕ4 theory in 4 dimensions is non-trivial in the continuum?

P Romatschke - Physics Letters B, 2023 - Elsevier
Traditionally, scalar ϕ 4 theory in four dimensions is thought to be quantum trivial in the
continuum. This tradition is apparently well grounded both in physics arguments and …

Instantons, analytic continuation, and -symmetric field theory

S Lawrence, R Weller, C Peterson, P Romatschke - Physical Review D, 2023 - APS
Ordinary Hermitian λ ϕ 4 theory is known to exist in d< 4 dimensions when λ> 0. For
negative values of the coupling, it has been suggested that a physical meaningful definition …

Exact WKB analysis for -symmetric quantum mechanics: Study of the Ai-Bender-Sarkar conjecture

S Kamata - Physical Review D, 2024 - APS
We consider exact Wentzel-Kramers-Brillouin analysis to a PT symmetric quantum
mechanics defined by the potential, V (x)= ω 2 x 2+ gx 2 (ix) ϵ= 2 with ω∈ R≥ 0, g∈ R> 0 …

Tunable tachyon mass in the -broken massive Thirring model

B Liégeois, R Chitra, N Defenu - Physical Review D, 2023 - APS
We study the full phase diagram of a non-Hermitian PT-symmetric generalization of the
paradigmatic two-dimensional massive Thirring model. Employing the nonperturbative …

Functional flows for complex effective actions

F Ihssen, JM Pawlowski - SciPost Physics, 2023 - scipost.org
In the present work we set up a general functional renormalisation group framework for the
computation of complex effective actions. For explicit computations we consider both flows of …

[PDF][PDF] Universal non-Hermitian flow in one-dimensional PT-symmetric quantum criticalities

XC Zhou, K Wang - arXiv preprint arXiv:2405.01640, 2024 - scipost.org
The critical point of a topological phase transition is described by a conformal field theory
(CFT), where the finite-size corrections to the ground state energy are uniquely related to its …

Fate of exceptional points in the presence of nonlinearities

A Khedri, D Horn, O Zilberberg - arXiv preprint arXiv:2208.11205, 2022 - arxiv.org
The non-Hermitian dynamics of open systems deal with how intricate coherent effects of a
closed system intertwine with the impact of coupling to an environment. The system …