Work

Conformal symmetry and effective potential: I. Vacuum Vz, x operation for the Green functions

Year: 2023

Type: article

Abstract: We begin a series of two papers that is devoted to the study of the multi-loop effective potential evolution in φ4 theory using the conformal symmetry. In this first part, we introduce and describe in detail the vacuum Vz, x operation (“V” stems from “vacuum”; {z, x} imply the corresponding coordinates) that transforms the given Green’s functions to the corresponding vacuum integrations that generate the effective potential. Our operation can be considered as an inverse procedure compared to the Gorishnii–Isaev method. To reach the final goal, it is also necessary to introduce a special treatment of the mass terms as types of “interaction” in an asymptotical expansion of the generating functional.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptad127

Author: I V Anikin

Institution: Joint Institute for Nuclear Research

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid:

Funder: Sponsoring Consortium for Open Access Publishing in Particle Physics