scholarly journals Conformal use of retarded Green’s functions for the Maxwell field in de Sitter space

2011 ◽  
Vol 84 (12) ◽  
Author(s):  
S. Faci ◽  
E. Huguet ◽  
J. Renaud
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
De Sitter Space ◽  
Maxwell Field ◽  
De Sitter

scholarly journals RADIAL EVOLUTION IN ANTI-DE SITTER SPACE–TIME

2006 ◽  
Vol 21 (16) ◽  
pp. 3289-3294
Author(s):  
ANTON ILDERTON
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Scalar Fields ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Factorization Property ◽  
Second Quantization ◽  
Radial Evolution

In this paper we describe some properties of Green's functions which may be derived in either first or second quantization. We illustrate this with a factorization property of scalar fields in AdS space.

scholarly journals Conformally covariant quantization of the Maxwell field in de Sitter space

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
S. Faci ◽  
E. Huguet ◽  
J. Queva ◽  
J. Renaud
Keyword(s):  
De Sitter Space ◽  
Maxwell Field ◽  
Covariant Quantization ◽  
De Sitter

scholarly journals Analysis of scalar and fermion quantum field theory on anti-de Sitter spacetime

2018 ◽  
Vol 27 (11) ◽  
pp. 1843014 ◽  
Author(s):  
Victor E. Ambruş ◽  
Carl Kent ◽  
Elizabeth Winstanley
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Vacuum Expectation ◽  
Dirac Fermion ◽  
De Sitter ◽  
Expectation Values ◽  
Sitter Spacetime ◽  
Fermion Fields ◽  
Spacetime Curvature ◽  
Ads Spacetime

We study vacuum and thermal expectation values of quantum scalar and Dirac fermion fields on anti-de Sitter (adS) spacetime. AdS spacetime is maximally symmetric and this enables expressions for the scalar and fermion vacuum Feynman Green’s functions to be derived in closed form. We employ Hadamard renormalization to find the vacuum expectation values (v.e.v.s). The thermal Feynman Green’s functions are constructed from the vacuum Feynman Green’s functions using the imaginary time periodicity/anti-periodicity property for scalars/fermions. Focusing on massless fields with either conformal or minimal coupling to the spacetime curvature (these two cases being the same for fermions) we compute the differences between the thermal expectation values and v.e.v.s. We compare the resulting energy densities, pressures and pressure deviators with the corresponding classical quantities calculated using relativistic kinetic theory.

Study of the indirect interaction in a non-Fermi liquid within the AdS/CFT correspondence framework

2015 ◽  
Vol 29 (17) ◽  
pp. 1550081
Author(s):  
Alexander V. Zhukov ◽  
Roland Bouffanais ◽  
Anastasiya V. Pak ◽  
Mikhail B. Belonenko
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Liquid System ◽  
Spin Interaction ◽  
De Sitter ◽  
Quantum Liquid ◽  
Excitation Spectra ◽  
Conformal Field ◽  
Analytical Expressions ◽  
Gain Access

The indirect spin–spin interaction between impurities in a non-Fermi quantum liquid system is theoretically investigated in this paper. The poles of the Green’s functions are shown to be responsible for the observed excitation spectra. Specifically, the anti-de Sitter/conformal field theory (AdS/CFT) correspondence is used to gain access to the analytical expressions of the Green’s functions for our particular problem.

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