scholarly journals Lagrangian formulation of irreducible massive fields of arbitrary spin in (2+1) dimensions

1997 ◽  
Vol 113 (1) ◽  
pp. 1244-1254 ◽  
Author(s):  
M. A. Vasiliev ◽  
I. V. Tyutin
Keyword(s):  
Arbitrary Spin ◽  
Lagrangian Formulation ◽  
Massive Fields

Lagrangian formulation for arbitrary spin. II. The fermion case

1974 ◽  
Vol 9 (4) ◽  
pp. 910-920 ◽  
Author(s):  
L. P. S. Singh ◽  
C. R. Hagen
Keyword(s):  
Arbitrary Spin ◽  
Lagrangian Formulation

Lagrangian formulation for arbitrary spin. I. The boson case

1974 ◽  
Vol 9 (4) ◽  
pp. 898-909 ◽  
Author(s):  
L. P. S. Singh ◽  
C. R. Hagen
Keyword(s):  
Arbitrary Spin ◽  
Lagrangian Formulation ◽  
Boson Case

Extension of the Popov-Fedotov method to arbitrary spin

1994 ◽  
Vol 4 (4) ◽  
pp. 493-497 ◽  
Author(s):  
O. Veits ◽  
R. Oppermann ◽  
M. Binderberger ◽  
J. Stein
Keyword(s):  
Arbitrary Spin

Superintegrable Systems with Arbitrary Spin

2013 ◽  
Vol 58 (11) ◽  
pp. 1046-1054 ◽  
Author(s):  
A.G. Nikitin ◽  
Keyword(s):  
Arbitrary Spin ◽  
Superintegrable Systems

Gauge Field Theory in Natural Geometric Language

2020 ◽  
Author(s):  
Daniel Canarutto
Keyword(s):  
Particle Physics ◽  
Quantum Physics ◽  
Brst Symmetry ◽  
Natural Extension ◽  
Integrated Approach ◽  
Arbitrary Spin ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Standard View ◽  
Spinor Bundle

This monograph addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics. Selected mathematical and theoretical topics are exposed within a not-too-short, integrated approach that exploits standard and non-standard notions in natural geometric language. The role of structure groups can be regarded as secondary even in the treatment of the gauge fields themselves. Two-spinors yield a partly original ‘minimal geometric data’ approach to Einstein-Cartan-Maxwell-Dirac fields. The gravitational field is jointly represented by a spinor connection and by a soldering form (a ‘tetrad’) valued in a vector bundle naturally constructed from the assumed 2-spinor bundle. We give a presentation of electroweak theory that dispenses with group-related notions, and we introduce a non-standard, natural extension of it. Also within the 2-spinor approach we present: a non-standard view of gauge freedom; a first-order Lagrangian theory of fields with arbitrary spin; an original treatment of Lie derivatives of spinors and spinor connections. Furthermore we introduce an original formulation of Lagrangian field theories based on covariant differentials, which works in the classical and quantum field theories alike and simplifies calculations. We offer a precise mathematical approach to quantum bundles and quantum fields, including ghosts, BRST symmetry and anti-fields, treating the geometry of quantum bundles and their jet prolongations in terms Frölicher's notion of smoothness. We propose an approach to quantum particle physics based on the notion of detector, and illustrate the basic scattering computations in that context.

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