Dirichlet and other non-periodic boundary conditions in conflict with renormalization

Alfred Actor

Physica A: Statistical Mechanics and its Applications, 1989, vol. 158, issue 1, 38-46

Abstract: Periodic boundary conditions are generally compatible with renormalization. However, when the boundary conditions are Dirichlet or Neumann, a conflict with renormalization may arise because infinite counterterms become (at least in some cases) dependent on the global spacetime geometry. This is demonstrated by calculation of the divergences in simple Feynman diagrams.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:158:y:1989:i:1:p:38-46

DOI: 10.1016/0378-4371(89)90505-0

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