Keywords
dimensional regularization
the Casimir effect
the effective action
topological strings
Abstract
Within the tr ln-formalism we study the influence of quantized field on the vacuum interaction of cosmic strings. We consider the real-valued massive scalar field with minimal coupling. It is shown that at the inter-string distances, which visibly exceed the Compton length lc = m-1, the appearance of mass leads to the exponential decay of the effect. Whereas at small with respect to lc distances, but much larger than the string’s width, the mass effect becomes insignificant; and the massive field contributes to the Casimir energy comparably with the massless field.
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