The Polarization Tensor of the Massless Mode in Yang-Mills Thermodynamics

2011 ◽  
Author(s):  
Markus Schwarz ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Polarization Tensor ◽  
Yang Mills ◽  
Massless Mode

scholarly journals RADIATIVE CORRECTIONS TO THE PRESSURE AND THE ONE-LOOP POLARIZATION TENSOR OF MASSLESS MODES IN SU(2) YANG–MILLS THERMODYNAMICS

2007 ◽  
Vol 22 (06) ◽  
pp. 1213-1237 ◽  
Author(s):  
MARKUS SCHWARZ ◽  
RALF HOFMANN ◽  
FRANCESCO GIACOSA
Keyword(s):  
Atomic Hydrogen ◽  
Black Body ◽  
Coulomb Gauge ◽  
Polarization Tensor ◽  
Radiative Corrections ◽  
Loop Correction ◽  
Yang Mills ◽  
Massless Mode ◽  
The Stability ◽  
The One

We compute the one-loop polarization tensor Π for the on-shell, massless mode in a thermalized SU(2) Yang–Mills theory being in its deconfining phase. Postulating that [Formula: see text], we discuss Π's effect on the low-momentum part of the black-body spectrum at temperatures ~2,…,4 T CMB where T CMB ~ 2.73 K . A table-top experiment is proposed to test the above postulate. As an application, we point out a possible connection with the stability of dilute, cold, and old innergalactic atomic hydrogen clouds. We also compute the two-loop correction to the pressure arising from the instantaneous massless mode in unitary-Coulomb gauge, which formerly was neglected, and present improved estimates for subdominant corrections.

scholarly journals CONSISTENCY OF THE HYBRID REGULARIZATION WITH HIGHER COVARIANT DERIVATIVE AND INFINITELY MANY PAULI–VILLARS

2001 ◽  
Vol 16 (22) ◽  
pp. 3755-3783
Author(s):  
KOH-ICHI NITTOH
Keyword(s):  
Covariant Derivative ◽  
Vacuum Polarization ◽  
Gauge Theories ◽  
Polarization Tensor ◽  
Logarithmic Divergence ◽  
Yang Mills ◽  
Higher Covariant Derivative ◽  
Group Functions ◽  
Supersymmetric Gauge ◽  
Vacuum Polarization Tensor

We study the regularization and renormalization of the Yang–Mills theory in the framework of the manifestly invariant formalism, which consists of a higher covariant derivative with an infinitely many Pauli–Villars fields. Unphysical logarithmic divergence, which is the problematic point on the Slavnov method, does not appear in our scheme, and the well-known value of the renormalization group functions are derived. The cancellation mechanism of the quadratic divergence is also demonstrated by calculating the vacuum polarization tensor of the order of Λ0 and Λ-4. These results are the evidence that our method is valid for intrinsically divergent theories and is expected to be available for the theory which contains the quantity depending on the space–time dimensions, like supersymmetric gauge theories.

scholarly journals CORRELATION OF ENERGY DENSITY IN DECONFINING SU(2) YANG–MILLS THERMODYNAMICS

2008 ◽  
Vol 23 (32) ◽  
pp. 5181-5200 ◽  
Author(s):  
JOCHEN KELLER ◽  
RALF HOFMANN ◽  
FRANCESCO GIACOSA
Keyword(s):  
Energy Density ◽  
Atomic Hydrogen ◽  
Milky Way ◽  
Yang Mills ◽  
Massless Mode ◽  
Point Correlation

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang–Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen within the Milky Way.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

scholarly journals Wave packet dynamics in Yang-Mills theory

1995 ◽  
Vol 52 (4) ◽  
pp. 2402-2411 ◽  
Author(s):  
C. R. Hu ◽  
S. G. Matinyan ◽  
B. Müller ◽  
A. Trayanov ◽  
T. M. Gould ◽  
...  
Keyword(s):  
Wave Packet ◽  
Yang Mills ◽  
Wave Packet Dynamics
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