Isotropy theorem for cosmological Yang-Mills theories - INSPIRE

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Isotropy theorem for cosmological Yang-Mills theories

Dec, 2012

9 pages

Published in:

Phys.Rev.D 87 (2013) 4, 043523

Published: Feb 13, 2013

e-Print:

1212.3201 [astro-ph.CO]

DOI:

10.1103/PhysRevD.87.043523

View in:

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Abstract: (APS)

We consider homogeneous non-Abelian vector fields with general potential terms in an expanding universe. We find a mechanical analogy with a system of N interacting particles (with N the dimension of the gauge group) moving in three dimensions under the action of a central potential. In the case of bounded and rapid evolution compared to the rate of expansion, we show by making use of a generalization of the virial theorem that for an arbitrary potential and polarization pattern, the average energy-momentum tensor is always diagonal and isotropic despite the intrinsic anisotropic evolution of the vector field. We consider also the case in which a gauge-fixing term is introduced in the action and show that the average equation of state does not depend on such a term. Finally, we extend the results to arbitrary background geometries and show that the average energy-momentum tensor of a rapidly evolving Yang-Mills field is always isotropic and has the perfect fluid form for any locally inertial observer.

Note:

8 pages, 3 figures

98.80.Cq
tensor: energy-momentum
field theory: vector
dimension: 3
gauge field theory: Yang-Mills
particle: interaction
background: geometry
space-time: expansion
equation of state
virial theorem

References(51)

Figures(3)

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