scholarly journals Conformal Generally Covariant Quantum Field Theory: The Scalar Field and its Wick Products

2009 ◽  
Vol 288 (3) ◽  
pp. 1117-1135 ◽  
Author(s):  
Nicola Pinamonti
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Quantum Field ◽  
Covariant Quantum ◽  
Wick Products ◽  
Generally Covariant

scholarly journals REMARKS ON THE REEH–SCHLIEDER PROPERTY FOR HIGHER SPIN FREE FIELDS ON CURVED SPACETIMES

2011 ◽  
Vol 23 (10) ◽  
pp. 1035-1062 ◽  
Author(s):  
CLAUDIO DAPPIAGGI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Vector Potential ◽  
Weak Form ◽  
Quantum Field ◽  
Covariant Quantum ◽  
Real Scalar ◽  
Higher Spin ◽  
Free Fields

The existence of states enjoying a weak form of the Reeh–Schlieder property has been recently established on curved backgrounds and in the framework of locally covariant quantum field theory. Since only the example of a real scalar field has been discussed, we extend the analysis to the case of massive and massless free fields either of spin-½ or of spin-1. In the process, it is also shown that both the vector potential and the Proca field can be described as a locally covariant quantum field theory.

scholarly journals Locally covariant quantum field theory and the problem of formulating the same physics in all space–times

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140238 ◽  
Author(s):  
Christopher J. Fewster
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
Covariant Theory ◽  
Quantum Field ◽  
Locality Condition ◽  
Physical Content ◽  
Covariant Quantum ◽  
Dynamical Locality ◽  
The Status

The framework of locally covariant quantum field theory is discussed, motivated in part using ‘ignorance principles’. It is shown how theories can be represented by suitable functors, so that physical equivalence of theories may be expressed via natural isomorphisms between the corresponding functors. The inhomogeneous scalar field is used to illustrate the ideas. It is argued that there are two reasonable definitions of the local physical content associated with a locally covariant theory; when these coincide, the theory is said to be dynamically local. The status of the dynamical locality condition is reviewed, as are its applications in relation to (i) the foundational question of what it means for a theory to represent the same physics in different space–times and (ii) a no-go result on the existence of natural states.

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.

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.

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