# Functional renormalisation group in a finite volume

Abstract : We study a $\phi^4$-theory at finite temperature in a finite volume. Quantum, thermal and volume fluctuations are treated with the functional renormalisation group. Specifically, we focus on the interplay of temperature and length scales driving the system. We find that thermodynamical observables at finite volume such as the pressure approach the infinite volume limit similarly to that of the vanishing temperature limit. We also advance the functional renormalisation group method at finite volume. In particular, we identify requirements for suitable regulators that admit the exponential thermal and finite volume decay properties.
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Journal articles
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Cited literature [6 references]

https://hal-cea.archives-ouvertes.fr/cea-01332610
Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, June 16, 2016 - 11:36:46 AM
Last modification on : Wednesday, April 14, 2021 - 12:12:17 PM

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1504.05166v1.pdf
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### Citation

Leonard Fister, Jan Martin Pawlowski. Functional renormalisation group in a finite volume. Physical Review D, American Physical Society, 2015, 92 (7), pp.076009. ⟨10.1103/PhysRevD.92.076009⟩. ⟨cea-01332610⟩

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