Negative Coupling $\phi^4$ on the Lattice
Pre-published on:
December 27, 2023
Published on:
November 06, 2024
Abstract
Triviality of $\phi^4$ theory in four dimensions can be avoided if the bare coupling constant is negative in the UV. Theories with negative coupling can be put on the lattice if the integration domain for $\phi(x)$ is contour-deformed from the real to the complex domain. In 0+1d (quantum mechanics), one can recover results from $\mathcal{PT}$-symmetric quantum mechanics in this way. In this work, I report on an attempt to put negative coupling $\phi^4$ theory in 4 dimensions on the lattice.
DOI: https://doi.org/10.22323/1.453.0367
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating
very compact bibliographies which can be beneficial to authors and
readers, and in "proceeding" format
which is more detailed and complete.