scholarly journals GAUGE THEORY OF GRAVITY REQUIRES MASSIVE TORSION FIELD

1999 ◽  
Vol 14 (16) ◽  
pp. 2531-2535
Author(s):  
RAINER W. KÜHNE
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Theory ◽  
Gauge Boson ◽  
Rest Mass ◽  
Quantum Field ◽  
Spin Field ◽  
Torsion Field ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

One of the greatest unsolved issues of the physics of this century is to find a quantum field theory of gravity. According to a vast amount of literature, unification of quantum field theory and gravitation requires a gauge theory of gravity which includes torsion and an associated spin field. Various models including either massive or massless torsion fields have been suggested. We present arguments for a massive torsion field, where the probable rest mass of the corresponding spin three gauge boson is the Planck mass.

scholarly journals Gauge Theory of Gravity Requires Massive Torsion Field

2019 ◽  
Author(s):  
Rainer Kühne
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Theory ◽  
Gauge Boson ◽  
Rest Mass ◽  
Quantum Field ◽  
Spin Field ◽  
Torsion Field ◽  
Theory Of Gravity ◽  
Gauge Theory Of Gravity

One of the greatest unsolved issues of the physics of this century is to find a quantum field theory of gravity. According to a vast amount of literature unification of quantum field theory and gravitation requires a gauge theory of gravity which includes torsion and an associated spin field. Various models including either massive or massless torsion fields have been suggested. We present arguments for a massive torsion field, where the probable rest mass of the corresponding spin three gauge boson is the Planck mass.

A gauge theory of gravity in curved phase-spaces

2016 ◽  
Vol 13 (07) ◽  
pp. 1650097
Author(s):  
Carlos Castro
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Cotangent Bundle ◽  
Finsler Geometry ◽  
Relativity Theory ◽  
Field Equations ◽  
Double Field Theory ◽  
Theory Of Gravity ◽  
Curvature And Torsion ◽  
Gauge Theory Of Gravity

After a cursory introduction of the basic ideas behind Born’s Reciprocal Relativity theory, the geometry of the cotangent bundle of spacetime is studied via the introduction of nonlinear connections associated with certain nonholonomic modifications of Riemann–Cartan gravity within the context of Finsler geometry. A novel gauge theory of gravity in the [Formula: see text] cotangent bundle [Formula: see text] of spacetime is explicitly constructed and based on the gauge group [Formula: see text] which acts on the tangent space to the cotangent bundle [Formula: see text] at each point [Formula: see text]. Several gravitational actions involving curvature and torsion tensors and associated with the geometry of curved phase-spaces are presented. We conclude with a brief discussion of the field equations, the geometrization of matter, quantum field theory (QFT) in accelerated frames, T-duality, double field theory, and generalized geometry.

Threshold behaviour in quantum field theory

1952 ◽  
Vol 210 (1102) ◽  
pp. 388-404 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Matrix Element ◽  
Rest Mass ◽  
Momentum Conservation ◽  
Quantum Field ◽  
Branch Points ◽  
Threshold Values ◽  
Physical Assumption ◽  
S Matrix

The elements of the S matrix are functions of the energies and momenta of a set of incident particles. For sufficiently high relative energies of the incident particles new particles of non-zero rest mass can be created. At the thresholds for such creation processes the S matrix will have a complicated behaviour. This behaviour is investigated when the S matrix is calculated by means of renormalized quantum field theory. For a typical matrix element there are thresholds of two main types. The first is a creation threshold below which the element is zero on account of energy-momentum conservation; mathematically this is due to a Dirac S function factor. The second is an interference threshold above which a competing process has non-zero probability. Interference thresholds are closely connected with the appearance of displaced poles in the integration. It is shown that a matrix element will always contain a term having a branch point at an interference threshold; the path of analytic continuation round these branch points is obtained from the physical assumption that particles interact through their retarded fields. Between the threshold values it is shown that the S matrix elements are analytic functions of the energies and momenta of the incident particles.

scholarly journals Massive Gauge Boson and its generation: Some comments and discussion

2010 ◽  
Vol 7 (2) ◽  
pp. 483-485
Author(s):  
Mahendra joshi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Boson ◽  
Goldstone Boson ◽  
Degree Of Freedom ◽  
Quantum Field ◽  
Feynman Gauge ◽  
Boson Propagator

Starting with proper application of Feynman gauge in quantum field theory the proposal has been made to remove the unphysical degree of freedom from the gauge boson propagator. It has also been shown that the unphysical degree of freedom corresponding to the goldstone boson and breaking of global U (1) symmetry alone is sufficient for generation of massive gauge boson.

scholarly journals Lectures on the holographic duality of gauge fields and strings

2019 ◽  
pp. 121-182
Author(s):  
Gordon W. Semenoff
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Theory ◽  
String Theory ◽  
Quantum Field ◽  
De Sitter ◽  
Four Dimensions ◽  
Yang Mills ◽  
Brane Solution ◽  
Holographic Duality

This chapter gives a pedagogical review of the holographic duality between string theory and quantum field theory. The main focus is on the duality of maximally supersymmetric Yang–Mills gauge theory in four dimensions with string theory in asymptotically anti-de Sitter backgrounds. This duality is motivated using the large N expansion in the rank of the gauge group, as well as the D-brane solution for the AdS string theory background. The computation of Wilson loops on both sides of the duality is given as an example.

Complex Structures in Quantum Field Theory

1997 ◽  
Vol 12 (01) ◽  
pp. 159-164
Author(s):  
Rainer Dick
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Theory ◽  
Reproducing Kernel ◽  
Classical Solutions ◽  
Complex Structures ◽  
Quantum Field ◽  
Ward Identities ◽  
Low Dimensional

We point out that Ward identities imply a notion of reproducing kernel in the set of classical solutions of any quantum field theory, and discuss an application of low-dimensional complex structures in four-dimensional gauge theory.

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