Renormalization of scalar field theories in rational spacetime dimensions

Renormalization of scalar field theories in rational spacetime dimensions

We renormalize various scalar field theories with a ϕ n self interaction such as n = 5 , 7 and 9 in their respective critical dimensions which are non-integer. The renormalization group functions for the O ( N ) symmetric extensions are also computed.

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2020-07, Vol.80 (7), p.1-15, Article 604
1. Verfasser: Gracey, J. A.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Scalars
String Theory
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Zusammenfassung:We renormalize various scalar field theories with a ϕ n self interaction such as n = 5 , 7 and 9 in their respective critical dimensions which are non-integer. The renormalization group functions for the O ( N ) symmetric extensions are also computed.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-8144-y