Background dependent cutoff for Wilson actions

2024/08/07 by C. Pagani, Pagani, Carlo, Hidenori Sonoda +1 · 1 citation
Chemistry · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Radioactive element chemistry and processing

paper · pdf · doi:10.48550/arxiv.2408.03625

openalex publication_date 2024/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the application of the background field method in the framework of the exact renormalization group (ERG). By considering the case of a scalar field theory, we provide a detailed discussion of the properties satisfied by a background dependent Wilson action. We show how the Ward identity associated with background field shifts for the Wilson action is related to that for the 1PI Wilson action, or effective average action. Moreover, we discuss the ERG equations in the dimensionless framework and emphasize the role of the Ward identity in this setting. We give two examples: the Gaussian fixed point for the real scalar theory and the large N limit of the linear sigma model.

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• Explicit construction of the energy-momentum tensor in the large N limit

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