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Perturbative Aspects of the Deconfinement Transition - Beyond the Faddeev-Popov Paradigm (Paperback, 1st ed. 2022)
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Perturbative Aspects of the Deconfinement Transition - Beyond the Faddeev-Popov Paradigm (Paperback, 1st ed. 2022)
Series: Lecture Notes in Physics, 1006
Expected to ship within 10 - 15 working days
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This book offers an original view of the color
confinement/deconfinement transition that occurs in non-abelian
gauge theories at high temperature and/or densities. It is grounded
on the fact that the standard Faddeev-Popov gauge-fixing procedure
in the Landau gauge is incomplete. The proper analysis of the low
energy properties of non-abelian theories in this gauge requires,
therefore, the extension of the gauge-fixing procedure, beyond the
Faddeev-Popov recipe. The author reviews various applications of
one such extension, based on the Curci-Ferrari model, with a
special focus on the confinement/deconfinement transition, first in
the case of pure Yang-Mills theory, and then, in a formal regime of
Quantum Chromodynamics where all quarks are considered heavy. He
shows that most qualitative aspects and also many quantitative
features of the deconfinement transition can be accounted for
within the model, with only one additional parameter. Moreover,
these features emerge in a systematic and controlled perturbative
expansion, as opposed to what would happen in a perturbative
expansion within the Faddeev-Popov model. The book is also intended
as a thorough and pedagogical introduction to background field
gauge techniques at finite temperature and/or density. In
particular, it offers a new and promising view on the way these
techniques might be applied at finite temperature. The material
aims at graduate students or researchers who wish to deepen their
understanding of the confinement/deconfinement transition from an
analytical perspective. Basic knowledge of gauge theories at finite
temperature is required, although the text is designed in a
self-contained manner, with most concepts and tools introduced when
needed. At the end of each chapter, a series of exercises is
proposed to master the subject.
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