scholarly journals Nonrelativistic limit of quantum field theory in inertial and noninertial frames and the principle of equivalence

2011 ◽  
Vol 84 (8) ◽  
Author(s):  
Hamsa Padmanabhan ◽  
T. Padmanabhan
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Nonrelativistic Limit ◽  
Quantum Field ◽  
Principle Of Equivalence

Particle–antiparticle potential in scalar quantum field theory with a Higgs-like mediating field

2013 ◽  
Vol 91 (10) ◽  
pp. 764-769 ◽  
Author(s):  
Alexander Chigodaev ◽  
Jurij W. Darewych
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Hamiltonian Formalism ◽  
Nonrelativistic Limit ◽  
Single Pair ◽  
Quantum Field ◽  
Short Range Potential ◽  
Interparticle Potential ◽  
Scalar Quantum ◽  
The One

We study the particle–antiparticle force in a model scalar quantum field theory (QFT) with a nonlinear Higgs-like mediating field. We use the variational method in a reformulated Hamiltonian formalism of the theory. The trial state consists of a superposition of single-pair and two-pair Fock states. Coupled relativistic integral equations for the one- and two-pair channel functions are derived and their nonrelativistic limit forms are obtained. Variational ansatz are used to derive the correction to the dominant Yukawa interparticle potential for the particle–antiparticle system. The correction is found to be an attractive short-range potential.

scholarly journals CONSTRAINTS ON EMERGENT GRAVITY

2009 ◽  
Vol 18 (14) ◽  
pp. 2249-2255 ◽  
Author(s):  
ALEJANDRO JENKINS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Gauge Invariance ◽  
Energy Operator ◽  
Gravitational Theory ◽  
Quantum Field ◽  
Principle Of Equivalence ◽  
Stress Energy ◽  
Low Energies

In this essay we review the central difficulty in formulating a viable quantum field theory in which gravity is emergent at low energies rather than being mediated by a fundamental gauge field. The Weinberg–Witten theorem forbids spin 2, massless modes from carrying Lorentz-covariant stress–energy. In general relativity the stress–energy is not covariant because it violates a gauge invariance, but a gravitational theory without fundamental spin 2 gauge invariance must either lack a stress–energy operator or have a nonrelativistic graviton. The latter option is incompatible with the principle of equivalence, though such theories are not necessarily ruled out at low energies.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

Some remarks on a deformed quantum field theory

2002 ◽  
Author(s):  
Marco Aurelio Do Rego Monteiro ◽  
V. B. Bezerra ◽  
E. M.F. Curado
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field
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