PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Theoretical Developments
Negative Coupling $\phi^4$ on the Lattice
P. Romatschke
Full text: pdf
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
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