Quantization about a Yang-Mills pseudoparticle and the conformal group contraction

1979 ◽  
Vol 51 (3) ◽  
pp. 358-366 ◽  
Author(s):  
C. De Concini ◽  
G. Vitiello
Keyword(s):  
Conformal Group ◽  
Yang Mills ◽  
Group Contraction

Classical Yang-Mills equations invariant under subgroups of the conformal group without coupling to matter

2000 ◽  
Vol 77 (10) ◽  
pp. 751-767
Author(s):  
P Bracken
Keyword(s):  
Asymptotic Behaviour ◽  
Minkowski Space ◽  
Gauge Transformation ◽  
Conformal Group ◽  
Field Equations ◽  
Yang Mills ◽  
Mills Field

Classical Yang-Mills field equations on Minkowski space with gaugegroup SU(2) are determined. Solutions invariant up to a gauge transformation under a four-dimensional subgroup of the conformal group are evaluated for the Yang-Mills field in the absence of matter. Some properties of the solutions of the equations such as their asymptotic behaviour are obtained.PACS No.: 03.50-z

scholarly journals CONFORMAL INVARIANCE OF TENSOR BOSON TREE AMPLITUDES

2012 ◽  
Vol 27 (18) ◽  
pp. 1250103 ◽  
Author(s):  
IGNATIOS ANTONIADIS ◽  
GEORGE SAVVIDY
Keyword(s):  
Scattering Amplitudes ◽  
Conformal Invariance ◽  
Recursion Relation ◽  
Conformal Group ◽  
Tree Level ◽  
Unexpected Result ◽  
Gauge Bosons ◽  
Yang Mills ◽  
Higher Spin

The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang–Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of spin-s and n gluons are invariant under conformal group of transformations. This is highly unexpected result for the higher-spin particles, in particular this is not true for the scattering amplitudes of gravitons. We discuss and compare the tree-level scattering amplitudes for the charged tensor bosons with the corresponding scattering amplitudes for gravitons, stressing their differences and similarities.

scholarly journals Ambitwistor strings in six and five dimensions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Yvonne Geyer ◽  
Lionel Mason ◽  
David Skinner
Keyword(s):  
Conformal Group ◽  
Anomaly Cancellation ◽  
Null Geodesics ◽  
Five Dimensions ◽  
Yang Mills ◽  
Conformally Invariant ◽  
Gravity Theories ◽  
Supersymmetric Gauge ◽  
Invariant Gauge ◽  
Gauge Anomaly

Abstract Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions. In 6d the twistor representation is naturally conformally invariant. Anomaly cancellation leads to models that describe biadjoint scalar amplitudes and certain conformally invariant gauge and gravity theories, respectively of 4th and 6th order. There are three such models, reflecting triality for the conformal group SO(8) associated to these 6d models. On reduction to five dimensions, gauge anomaly cancellation requires supersymmetry and the resulting models describe maximally supersymmetric Yang-Mills and gravity. The twistor representation of these ambitwistor strings lead to formulæ for maximally supersymmetric gauge and gravity amplitudes based on the polarized scattering equations in 5d, found earlier by the first two authors.

CLASSICAL YANG-MILLS-DIRAC SYSTEM WITH CONFORMAL SYMMETRY: A GEOMETRICAL ANALYSIS

1994 ◽  
Vol 09 (37) ◽  
pp. 3431-3444 ◽  
Author(s):  
J.-P. ANTOINE ◽  
L. DABROWSKI ◽  
I. MAHARA
Keyword(s):  
Minkowski Space ◽  
Gauge Group ◽  
Gauge Transformation ◽  
Conformal Symmetry ◽  
Conformal Group ◽  
Dirac System ◽  
Geometrical Analysis ◽  
Yang Mills ◽  
Dirac Equations

We consider classical Yang-Mills-Dirac equations on Minkowski space, with gauge group SU(2), and look for solutions invariant (up to a gauge transformation) under a four-dimensional subgroup of the conformal group. In each of the four different cases that we analyze, the equations admit non-Abelian solutions, but these cannot be obtained analytically. In addition, some cases admit solutions with chiral spinors that may be physically relevant. All these solutions are singular.

Sign in / Sign up

Export Citation Format

Share Document