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Nuclear
Physics Colloquium
Venue: Physics Building, Max-von-Laue-Str. 1, Seminar
Room PHYS 2.116
Time: Thursday, January 12, 4:30 pm (s.t.)
Contact: hees@fias.uni-frankfurt.de
Thermodynamics of quantum fields
subject to a geometric confinement: When Casimir meets Linde
Sylvain F. Mogliacci (University of
Cape Town)
Motivated
by the need for a more quantitative description of the late stage of
heavy ion collisions, I review a surprising recent development which
concerns the thermodynamics of quantum fields in systems subject to a
geometric confinement. These include systems with an actual finite
volume.
For the sake of my argument, I focus on a massless/massive single
component non-interacting scalar field, even though the present idea is
applicable to any renormalizable field theory, such as Quantum
Chromodynamics.
I then demonstrate how thermodynamic quantities can be investigated from
a different perspective, inspired by a more realistic approach to the
finiteness of the size of such systems. Besides significant finite
volume corrections, a number of interesting features naturally follow
from the treatment of the volume of the system. Of particular interest,
the absence of any infrared divergence, plaguing conventional finite
temperature perturbation theory, sets a new and natural solution to the
so-called infrared Linde problem.
The review, performed with different spatial compactifications,
encompasses various thermodynamic quantities such as the pressure and
the trace anomaly - all having non trivial temperature dependences,
despite the absence of interaction at leading order.
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