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Functional renormalisation group in a finite volume

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arxiv 1504.05166 v1 pith:D5CKY53A submitted 2015-04-20 hep-ph hep-th

classification hep-phhep-th
keywords volumefinitefunctionalgrouprenormalisationtemperaturelimitthermal
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Coarse graining from within: Wilson-Fisher universality on $S^3$

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A spectral cutoff RG flow on S^3 realizes the Wilson-Fisher universality class with one relevant direction and critical exponents close to flat-space values.

  2. Coherent State Path Integral Reveals Unexpected Vacuum Structure in Thermal Field Theory

    hep-th 2025-07 reject novelty 3.0 of 10

    A coherent-state derivation of the thermal partition function yields extra vacuum and mass-coupling terms that the authors claim are novel, though these terms reflect the chosen operator ordering.

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