scholarly journals Locally Covariant Quantum Field Theory with External Sources

2014 ◽  
Vol 16 (10) ◽  
pp. 2303-2365 ◽  
Author(s):  
Christopher J. Fewster ◽  
Alexander Schenkel
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Covariant Quantum ◽  
External Sources

scholarly journals Galilean covariance, Casimir effect and Stefan–Boltzmann law at finite temperature

2017 ◽  
Vol 32 (16) ◽  
pp. 1750094 ◽  
Author(s):  
S. C. Ulhoa ◽  
A. F. Santos ◽  
Faqir C. Khanna
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Finite Temperature ◽  
Temperature Effects ◽  
Casimir Effect ◽  
Quantum Field ◽  
Covariant Quantum ◽  
Thermo Field Dynamics ◽  
Boltzmann Law ◽  
Galilean Covariance

The Galilean covariance, formulated in 5-dimensions space, describes the nonrelativistic physics in a way similar to a Lorentz covariant quantum field theory being considered for relativistic physics. Using a nonrelativistic approach the Stefan–Boltzmann law and the Casimir effect at finite temperature for a particle with spin zero and 1/2 are calculated. The thermo field dynamics is used to include the finite temperature effects.

Quantum Field Theory Viewpoint of Refractive Index

2014 ◽  
Vol 979 ◽  
pp. 31-34 ◽  
Author(s):  
Atirat Maksuwan
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Refractive Index ◽  
Green’S Function ◽  
Green's Function ◽  
Index Of Refraction ◽  
Quantum Field ◽  
Classical Physics ◽  
Princeton University ◽  
External Sources

We rigorously investigate the refractive index by using the technique of the Green’s function. The propagator model of the polarization-free photon is created in quantum field theory viewpoint. The Green’s function is solved in detail with appropriate boundary originating an idea of amplitudes to propagate from place to place found in Richard Feynman's QED: The Strange Theory of Light and Matter (Princeton University Press, Princeton, New Jersey, 1985). The polarization-free photon is emitted from external sources or emitter in one medium and then propagates into another medium with the key idea: expression for amplitudes of scattering is a shrink and a tune by a certain amount, and is the same everywhere in one medium is given by determining the various contributions to probability amplitude coming from an integration over an arbitrary circular region of radius a. The purpose of this communication to establish the amplitude for the transmission of propagates by disregard about the material property. This amount is different for different materials, which corresponds to the “slowing” of the light is extra turning caused by the atoms in one medium scattering the light. The degree to which there is extra turning of the light goes through a given material is called its “index of refraction” for geometrical optics in classical physics.

scholarly journals Locally covariant quantum field theory and the spin–statistics connection

2016 ◽  
Vol 25 (06) ◽  
pp. 1630015 ◽  
Author(s):  
Christopher J. Fewster
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Axiomatic Approach ◽  
Quantum Field ◽  
General Version ◽  
Curved Spacetime ◽  
New Approach ◽  
Covariant Quantum ◽  
Specific Focus ◽  
Spin And Statistics

The framework of locally covariant quantum field theory (QFT), an axiomatic approach to QFT in curved spacetime (CST), is reviewed. As a specific focus, the connection between spin and statistics is examined in this context. A new approach is given, which allows for a more operational description of theories with spin and for the derivation of a more general version of the spin–statistics connection in CSTs than previously available. This part of the text is based on [C. J. Fewster, arXiv:1503.05797.] and a forthcoming publication; the emphasis here is on the fundamental ideas and motivation.

scholarly journals CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES

2001 ◽  
Vol 13 (02) ◽  
pp. 125-198 ◽  
Author(s):  
D. GUIDO ◽  
R. LONGO ◽  
J. E. ROBERTS ◽  
R. VERCH
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Black Holes ◽  
Rotational Symmetry ◽  
Minkowski Spacetime ◽  
Rotation Group ◽  
Quantum Field ◽  
Covariant Quantum ◽  
Killing Horizon ◽  
Hyperbolic Spacetimes

The first part of this paper extends the Doplicher–Haag–Roberts theory of superselection sectors to quantum field theory on arbitrary globally hyperbolic spacetimes. The statistics of a superselection sector may be defined as in flat spacetime and each charge has a conjugate charge when the spacetime possesses non-compact Cauchy surfaces. In this case, the field net and the gauge group can be constructed as in Minkowski spacetime. The second part of this paper derives spin-statistics theorems on spacetimes with appropriate symmetries. Two situations are considered: First, if the spacetime has a bifurcate Killing horizon, as is the case in the presence of black holes, then restricting the observables to the Killing horizon together with "modular covariance" for the Killing flow yields a conformally covariant quantum field theory on the circle and a conformal spin-statistics theorem for charged sectors localizable on the Killing horizon. Secondly, if the spacetime has a rotation and PT symmetry like the Schwarzschild–Kruskal black holes, "geometric modular action" of the rotational symmetry leads to a spin-statistics theorem for charged covariant sectors where the spin is defined via the SU(2)-covering of the spatial rotation group SO(3).

Is Algebraic Lorentz-Covariant Quantum Field Theory Stochastic Einstein Local?

1994 ◽  
Vol 61 (3) ◽  
pp. 457-474 ◽  
Author(s):  
F. A. Muller ◽  
Jeremy Butterfield
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Covariant Quantum

Dynamical derivation of the Yang–Mills S-matrix

1982 ◽  
Vol 60 (11) ◽  
pp. 1630-1640
Author(s):  
Robert E. Pugh
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Matrix Equation ◽  
Quantum Field ◽  
Yang Mills ◽  
Covariant Quantum ◽  
S Matrix ◽  
Feynman Rules

The Feynman rules for self-interacting Yang–Mills fields are derived within the framework of conventional covariant quantum field theory by explicitly calculating the contributions of the nonphysical field components to the violations of the S-matrix equation of continuity.

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