ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The vacuum energy is calculated for Yang-Mills (YM) system defined inD dimensional space-time ofS 1×R d (D=d+1), where the possibility of the YM fields to acquire the vacuum expectation values onS 1 is taken into account. The vacuum energy has already been obtained to the order of one-loop in many people. Here we calculate the vacuum energy inD dimensions to two-loop order. With an intention to reach higher loops, an approximation method is proposed, which is especially effective in higher dimensions. By this method, we can treat the higher-loop contributions of YM interactions as easily as we treat one-loop effect. As a check, we show reproduction of the two-loop contribution (D-dependence of the coefficient as well as the functional form) when the coupling constant is small. This approximation method is useful not only for the Kaluza-Klein theories but also for the finite temperature-density system (as a quark-gluon plasma).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01483877
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