scholarly journals Central decomposition of invariant states applications to the groups of time translations and of euclidean transformations in algebraic field theory

1972 ◽  
Vol 27 (3) ◽  
pp. 195-222 ◽  
Author(s):  
D. Kastler ◽  
M. Mebkhout ◽  
G. Loupias ◽  
L. Michel
Keyword(s):  
Field Theory ◽  
Algebraic Field ◽  
Invariant States

scholarly journals Localization in algebraic field theory

1982 ◽  
Vol 85 (1) ◽  
pp. 87-98 ◽  
Author(s):  
John E. Roberts
Keyword(s):  
Field Theory ◽  
Algebraic Field

scholarly journals Coloring Operads for Algebraic Field Theory

2019 ◽  
Vol 67 (8-9) ◽  
pp. 1910004
Author(s):  
Simen Bruinsma
Keyword(s):  
Field Theory ◽  
Algebraic Field

ALGEBRAIC FIELD THEORY: RECOLLECTIONS AND THOUGHTS ABOUT THE FUTURE

1992 ◽  
Vol 04 (spec01) ◽  
pp. 159-166
Author(s):  
DANIEL KASTLER
Keyword(s):  
Field Theory ◽  
Space Time ◽  
Cyclic Cohomology ◽  
Algebraic Field ◽  
The Future ◽  
Commutative Space

Anecdotal description of Rudolf Haag’s discovery of algebraic field theory. Remarks on field theoretic invariants versus cyclic cohomology, and articulation of algebraic field theory with theories based on non-commutative space-time.

scholarly journals Algebraic field theory operads and linear quantization

2019 ◽  
Vol 109 (11) ◽  
pp. 2531-2570 ◽  
Author(s):  
Simen Bruinsma ◽  
Alexander Schenkel
Keyword(s):  
Field Theory ◽  
Algebraic Field

scholarly journals A model for massless higher spin field interacting with a geometrical background

2015 ◽  
Vol 12 (05) ◽  
pp. 1550054
Author(s):  
Giuseppe Bandelloni
Keyword(s):  
Field Theory ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Symmetric Tensor ◽  
Theory Model ◽  
Algebraic Field ◽  
Spin Field ◽  
Higher Spin ◽  
A Chain ◽  
Equations Of Motions

We study a very general four-dimensional field theory model describing the dynamics of a massless higher spin N symmetric tensor field particle interacting with a geometrical background. This model is invariant under the action of an extended linear diffeomorphism. We investigate the consistency of the equations of motion, and the highest spin degrees of freedom are extracted by means of a set of covariant constraints. Moreover, the highest spin equations of motions (and in general all the highest spin field 1-PI irreducible Green functions) are invariant under a chain of transformations induced by a set of N - 2 Ward operators, while the auxiliary fields equations of motion spoil this symmetry. The first steps to a quantum extension of the model are discussed on the basis of the algebraic field theory. Technical aspects are reported in Appendices, in particular, one of them is devoted to illustrate the spin-2 case.

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