Closed-form Bessel-winding series for all finite-temperature proper-time RG threshold functions, with an algebraic identity reducing every higher threshold to the basic one.
The Effective potential and first order phase transitions: Beyond leading-order.Phys
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Closed-form thermal threshold functions for the proper-time renormalisation group
Closed-form Bessel-winding series for all finite-temperature proper-time RG threshold functions, with an algebraic identity reducing every higher threshold to the basic one.