Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-03-23
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, no figures
Scientific paper
The boundary conditions corresponding to the Matsubara formalism for the $T > 0$ partition function may be introduced as {\em constraints} in the path integral for the vacuum amplitude. We implement those constraints with time-independent Lagrange multipliers and, by integrating out the original fields, we obtain an alternative representation for the partition function, in terms of the Lagrange multipliers as dynamical fields. The resulting functional integral has the appealing property of involving only $d$-dimensional, {\em time independent} fields, and looks like a nonlocal version of the classical partition function. We develop this formalism within the context of the scalar and Dirac fields.
Fosco Cesar D.
Malbouisson Adolfo P. C.
Roditi Itzhak
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