Gauge Covariance of Spinor Geometry (*).

1961 ◽  
Vol 21 (1) ◽  
pp. 182-183 ◽  
Author(s):  
A. Peres
Keyword(s):  
Spinor Geometry ◽  
Gauge Covariance

scholarly journals SPACE–TIME STRUCTURE AND SPINOR GEOMETRY

2008 ◽  
Vol 50 (2) ◽  
pp. 143-176 ◽  
Author(s):  
GEORGE SZEKERES ◽  
LINDSAY PETERS
Keyword(s):  
Cosmological Solution ◽  
Space Time ◽  
Time Structure ◽  
Variation Principle ◽  
Field Equations ◽  
Covering Group ◽  
Space Time Structure ◽  
Spinor Geometry ◽  
Complete Set ◽  
Particle Solution

AbstractThe structure of space–time is examined by extending the standard Lorentz connection group to its complex covering group, operating on a 16-dimensional “spinor” frame. A Hamiltonian variation principle is used to derive the field equations for the spinor connection. The result is a complete set of field equations which allow the sources of the gravitational and electromagnetic fields, and the intrinsic spin of a particle, to appear as a manifestation of the space–time structure. A cosmological solution and a simple particle solution are examined. Further extensions to the connection group are proposed.

First-order Theory of Fields with Arbitrary Spin

2020 ◽  
pp. 135-146
Author(s):  
Daniel Canarutto
Keyword(s):  
Order Theory ◽  
Arbitrary Spin ◽  
General Description ◽  
First Order ◽  
First Order Theory ◽  
Special Cases ◽  
Spinor Geometry ◽  
Theory Of Fields ◽  
Angular Momentum Algebra ◽  
Dirac Spinors

By exploiting the previously exposed results in 2-spinor geometry, a general description of fields of arbitrary spin is exposed and shown to admit a first-order Lagrangian which extends the theory of Dirac spinors. The needed bundle is the fibered direct product of a symmetric ‘main sector’—carrying an irreducible representation of the angular-momentum algebra—and an induced sequence of ‘ghost sectors’. Several special cases are considered; in particular, one recovers the Bargmann-Wigner and Joos-Weinberg equations.

scholarly journals FROM SPINOR GEOMETRY TO COMPLEX GENERAL RELATIVITY

2005 ◽  
Vol 02 (04) ◽  
pp. 675-731 ◽  
Author(s):  
GIAMPIERO ESPOSITO
Keyword(s):  
General Relativity ◽  
Minkowski Space ◽  
Dual Space ◽  
Conformal Gravity ◽  
Penrose Transform ◽  
Minkowski Space Time ◽  
Two Component ◽  
Spinor Geometry ◽  
Complex General Relativity ◽  
Component Spinor

An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, α-planes in Minkowski space-time, α-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heaven spaces and heavenly equations.

The physical significance of gauge independence and gauge covariance in quantum mechanics

1984 ◽  
Vol 17 (1) ◽  
pp. 151-167 ◽  
Author(s):  
T E Feuchtwang ◽  
E Kazes ◽  
P H Cutler ◽  
H Grotch
Keyword(s):  
Quantum Mechanics ◽  
Physical Significance ◽  
Gauge Covariance

Gauge covariance and the gauge technique

1981 ◽  
Vol 14 (4) ◽  
pp. 921-929 ◽  
Author(s):  
R Delbourgo ◽  
B W Keck ◽  
C N Parker
Keyword(s):  
Gauge Covariance

Breeding curvature from extended gauge covariance

1991 ◽  
Vol 155 (8-9) ◽  
pp. 459-463 ◽  
Author(s):  
R. Aldrovandi
Keyword(s):  
Gauge Covariance

Gauge covariance in lattice field theories

1982 ◽  
Vol 15 (3) ◽  
pp. 199-226 ◽  
Author(s):  
D. Robson ◽  
D. M. Webber
Keyword(s):  
Field Theories ◽  
Lattice Field ◽  
Gauge Covariance

Spinors and Minkowski Space

2020 ◽  
pp. 37-52
Author(s):  
Daniel Canarutto
Keyword(s):  
Vector Space ◽  
Minkowski Space ◽  
Dimensional Vector ◽  
Algebraic Structures ◽  
Dimensional Vector Space ◽  
Spacetime Geometry ◽  
Intrinsic Form ◽  
Spinor Geometry ◽  
Original Approach

A partly original approach to spinor geometry, showing how a 2-dimensional vector space, without any further assumpions, generates by natural constructions the fundamental algebraic structures needed to deal with spacetime geometry and particles with spin. Several related notions are expressed in a concise, intrinsic form.

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