Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
34 (1993), S. 5625-5638
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The functional integral for a scalar field confined in a cavity and subjected to linear boundary conditions is discussed herein. It is shown how the functional measure can be conveniently dealt with by modifying the classical action with boundary corrections. The nonuniqueness of the boundary actions is described with a three-parameter family of them giving identical boundary conditions. In some cases, the corresponding Green's function will define a kind of generalized Gaussian measure on function space. The vacuum energy is discussed, paying due attention to its anomalous scale dependence, and the physical issues involved are considered.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530273
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