Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-07-19
Physics
High Energy Physics
High Energy Physics - Theory
LATEX, 16 pages, no figures
Scientific paper
We introduce the boundary conditions corresponding to the imaginary-time (Matsubara) formalism for the finite-temperature partition function in $d+1$ dimensions as {\em constraints} in the path integral for the vacuum amplitude (the zero-temperature partition function). We implement those constraints by using Lagrange multipliers, which are static fields, two of them associated to each physical degree of freedom. After integrating out the original, physical fields, we obtain an effective representation for the partition function, depending only on the Lagrange multipliers. The resulting functional integral has the appealing property of involving only $d$-dimensional, {\em time independent} fields, looking like a non local version of the classical partition function. We analyze the main properties of this novel representation for the partition function, developing the formalism within the context of two concrete examples: the real scalar and Dirac fields.
Fosco Cesar D.
Malbouisson Adolfo P. C.
Roditi Itzhak
No associations
LandOfFree
Thermal boundary conditions as constraints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Thermal boundary conditions as constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal boundary conditions as constraints will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-624900