PoS - Proceedings of Science
Volume 408 - XV International Workshop on Hadron Physics (XVHadronPhysics) - Section Posters
Approaching small- and large-box regimes in field theory
E. Cavalcanti
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Pre-published on: August 01, 2022
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We propose to investigate in detail how field theory behaves in restricted spaces. To do so, we consider a parametric representation of Feynman amplitudes, which allows us to discuss the behavior up to all orders in a perturbative expansion and extract consequences valid in a global setting. As a first step, we employ periodically compactified spaces and consider a scalar field theory. We show two valid and equivalent representations: a large-box representation (best suited near the bulk limit) and a small-box representation (best suited near the limit of dimensional reduction). In the small-box regime, we discuss the approach to dimensional reduction and show how it differs from a static-mode approximation.
DOI: https://doi.org/10.22323/1.408.0051
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