Renormalization In Quantum Gauge Theory Using Zeta-Function Method

2009 ◽  
Author(s):  
Viorel Chiritoiu ◽  
Gheorghe Zet ◽  
Madalin Bunoiu ◽  
Iosif Malaescu
Keyword(s):  
Gauge Theory ◽  
Zeta Function ◽  
Function Method ◽  
Quantum Gauge Theory

Quantum Gauge Theory on Compact Surfaces

1993 ◽  
Vol 221 (1) ◽  
pp. 17-52 ◽  
Author(s):  
A. Sengupta
Keyword(s):  
Gauge Theory ◽  
Quantum Gauge Theory ◽  
Compact Surfaces

scholarly journals Testing the surrogate zeta-function method

1986 ◽  
Vol 64 (5) ◽  
pp. 633-636 ◽  
Author(s):  
Alan Chodos ◽  
Eric Myers
Keyword(s):  
Euclidean Space ◽  
Zeta Function ◽  
Minkowski Space ◽  
Function Method ◽  
Casimir Energy ◽  
Kaluza Klein

Use of the surrogate zeta-function method was crucial in calculating the Casimir energy in non-Abelian Kaluza–Klein theories. We establish the validity of this method for the case where the background metric is (Euclidean space) × (N sphere). Our techniques do not apply to the case where the background is (Minkowski space) × (N sphere).

Thermal Properties of the One-Dimensional Duffin–Kemmer–Petiau Oscillator Using Hurwitz Zeta Function

2015 ◽  
Vol 70 (10) ◽  
pp. 867-874 ◽  
Author(s):  
Abdelamelk Boumali
Keyword(s):  
Free Energy ◽  
Thermal Properties ◽  
Zeta Function ◽  
Function Method ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Hurwitz Zeta Function ◽  
Expectation Value ◽  
One Dimensional ◽  
The One

AbstractIn this paper, we investigated the thermodynamics properties of the one-dimensional Duffin–Kemmer–Petiau oscillator by using the Hurwitz zeta function method. In particular, we calculated the following main thermal quantities: the free energy, the total energy, the entropy, and the specific heat. The Hurwitz zeta function allowed us to compute the vacuum expectation value of the energy of our oscillator.

scholarly journals The zeta function method and the harmonic oscillator propagator

2001 ◽  
Vol 69 (2) ◽  
pp. 232-235 ◽  
Author(s):  
F. A. Barone ◽  
C. Farina
Keyword(s):  
Harmonic Oscillator ◽  
Zeta Function ◽  
Function Method

scholarly journals Seiberg duality, quiver gauge theories, and Ihara’s zeta function

2015 ◽  
Vol 30 (18n19) ◽  
pp. 1550118 ◽  
Author(s):  
Da Zhou ◽  
Yan Xiao ◽  
Yang-Hui He
Keyword(s):  
Gauge Theory ◽  
Zeta Function ◽  
Generating Function ◽  
Riemann Hypothesis ◽  
Gauge Theories ◽  
Duality Transformations ◽  
Distribution Of Poles ◽  
Seiberg Duality ◽  
Refined Version

We study Ihara’s zeta function for graphs in the context of quivers arising from gauge theories, especially under Seiberg duality transformations. The distribution of poles is studied as we proceed along the duality tree, in light of the weak and strong graph versions of the Riemann Hypothesis. As a by-product, we find a refined version of Ihara’s zeta function to be the generating function for the generic superpotential of the gauge theory.

scholarly journals Massive gravity as a quantum gauge theory

2005 ◽  
Vol 37 (6) ◽  
pp. 1075-1096 ◽  
Author(s):  
D. R. Grigore ◽  
G. Scharf
Keyword(s):  
Gauge Theory ◽  
Massive Gravity ◽  
Quantum Gauge Theory
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