scholarly journals Addendum to ‘‘The equivariant inverse problem in gauge field theories and the uniqueness of the Yang–Mills equations’’ [J. Math. Phys. 30, 2382 (1989)]

1990 ◽  
Vol 31 (6) ◽  
pp. 1503-1503
Author(s):  
R. J. Noriega ◽  
C. G. Schifini
Keyword(s):  
Inverse Problem ◽  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Yang Mills ◽  
Math Phys

scholarly journals Yangian and SUSY symmetry of high spin parton splitting amplitudes in generalised Yang–Mills theory

2017 ◽  
Vol 32 (23) ◽  
pp. 1750121 ◽  
Author(s):  
Roland Kirschner ◽  
George Savvidy
Keyword(s):  
Scattering Amplitudes ◽  
Gauge Field ◽  
High Spin ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Recursion Relations ◽  
Yang Mills ◽  
Underlying Theory ◽  
Half Integer ◽  
Yangian Symmetry

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensor gluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil the generalised Kounnas–Ross [Formula: see text] = 1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.

scholarly journals Octonionic ternary gauge field theories revisited

2014 ◽  
Vol 11 (03) ◽  
pp. 1450013 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Gauge Field Theory ◽  
Gauge Fields ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Closure Relations ◽  
Nonassociative Geometry

An octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket defined earlier by Yamazaki. The ternary infinitesimal gauge transformations do obey the key closure relations [δ1, δ2] = δ3. An invariant action for the octonionic-valued gauge fields is displayed after solving the previous problems in formulating a nonassociative octonionic ternary gauge field theory. These octonionic ternary gauge field theories constructed here deserve further investigation. In particular, to study their relation to Yang–Mills theories based on the G2 group which is the automorphism group of the octonions and their relevance to noncommutative and nonassociative geometry.

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