Casimir effect for phi-4 theory in the flat homogeneous Clifford-Klein space-times

Details Casimir effect for phi-4 theory in the flat homogeneous Clifford-Klein space-times Casimir effect for phi-4 theory in the flat homogeneous Clifford-Klein space-times

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2..179g&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, March 1, 1985, p. 179-188.

Mathematics

Spectral Theory

23

Gravitation Theory, Space-Time Functions, Spectral Theory, Unified Field Theory, Automorphisms, Minkowski Space, Quantum Theory, Scalars, Topology

Scientific paper

A possible connection between twisted and automorphic fields and the modern spectral theory of automorphic functions is discussed. A realization of these considerations for manifolds M(n) and real scalar fields on them is addressed. The results of de Witt et al. (1979) about evaluating the Casimir effect for topologically inequivalent real scalar fields on M(n) are recalled and their concrete form is given. The vacuum energy density to order lambda is calculated for all types of real scalar field in M(n) with the help of Jackiw's (1974) results on the two-loop effective potential for phi-4 theory in Minkowski space-time.

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