Eur. Phys. J. C 28, 425-430 (2003)
DOI: 10.1140/epjc/s2003-01181-9

Deconstructing scalar QED at zero and finite temperature

N. Kan¹, K. Sakamoto¹ and K. Shiraishi<sup>1, 2

1</sup>  Graduate School of Science and Engineering, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan
²  Faculty of Science, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan

(Received: 24 January 2003 / Published online: 14 April 2003)

Abstract
We calculate the effective potential for the WLPNGB in a world with a circular latticized extra dimension. The mass of the Wilson line pseudo-Nambu-Goldstone boson (WLPNGB) is calculated from the one-loop quantum effect of scalar fields at zero and finite temperature. We show that a series expansion by the modified Bessel functions is useful to calculate the one-loop effective potentials.

© Società Italiana di Fisica, Springer-Verlag 2003