Scheme Independence at First Order Phase Transitions and the Renormalisation Group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX, 4 figures included (needs epsfig.sty), two equations added, typo corrected

Scientific paper

10.1016/S0370-2693(96)01613-9

We analyse approximate solutions to an exact renormalisation group equation with particular emphasis on their dependence on the regularisation scheme, which is kept arbitrary. Physical quantities related to the coarse-grained potential of scalar QED display universal behaviour for strongly first-order phase transitions. Only subleading corrections depend on the regularisation scheme and are suppressed by a sufficiently large UV scale. We calculate the relevant coarse-graining scale and give a condition for the applicability of Langer's theory of bubble nucleation.

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