Regularity of constraints in the Minkowski space Yang-Mills theory

Jędrzej Śniatycki

doi:10.1007/bf02102818

Regularity of constraints in the Minkowski space Yang-Mills theory

Communications in Mathematical Physics ◽

10.1007/bf02102818 ◽

1991 ◽

Vol 141 (3) ◽

pp. 593-597 ◽

Cited By ~ 1

Author(s):

Jędrzej Śniatycki

Keyword(s):

Minkowski Space ◽

Yang Mills

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Matter-coupled Yang-Mills system in Minkowski space. I. Invariant solutions in the presence of scalar fields

Physical Review D ◽

10.1103/physrevd.24.3179 ◽

1981 ◽

Vol 24 (12) ◽

pp. 3179-3193 ◽

Cited By ~ 14

Author(s):

Luc Vinet

Keyword(s):

Minkowski Space ◽

Scalar Fields ◽

Invariant Solutions ◽

Yang Mills

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Classical Yang-Mills and Dirac Fields in the Minkowski Space and in a Bag

Quantization, Coherent States, and Complex Structures ◽

10.1007/978-1-4899-1060-8_12 ◽

1995 ◽

pp. 109-118

Author(s):

Jȩdrzej Śniatycki

Keyword(s):

Minkowski Space ◽

Yang Mills ◽

Dirac Fields

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A MAXWELL-LIKE FORMULATION OF GRAVITATIONAL THEORY IN MINKOWSKI SPACE–TIME

International Journal of Modern Physics D ◽

10.1142/s0218271807010547 ◽

2007 ◽

Vol 16 (06) ◽

pp. 1027-1041 ◽

Cited By ~ 8

Author(s):

EDUARDO A. NOTTE-CUELLO ◽

WALDYR A. RODRIGUES

Keyword(s):

Gravitational Field ◽

Minkowski Space ◽

Gravitational Theory ◽

Space Time ◽

Lorentzian Geometry ◽

Field Equations ◽

Yang Mills ◽

Minkowski Space Time ◽

Clifford Bundle ◽

Gauge Fixing

Using the Clifford bundle formalism, a Lagrangian theory of the Yang–Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski space–time is presented. It is shown how two simple hypotheses permit the interpretation of the formalism in terms of effective Lorentzian or teleparallel geometries. In the case of a Lorentzian geometry interpretation of the theory, the field equations are shown to be equivalent to Einstein's equations.

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