New Algebra of Local Symmetries for Regge Limit of Yang{Mills Theories
نویسنده
چکیده
Local effective action is derived to describe Regge asymptotic of Yang–Mills theories. Local symmetries of the effective action originating from the gauge symmetry of the underlying Yang–Mills theory are studied. Multicomponent effective action is introduced to express the symmetry transformations as field transformations. The algebra of these symmetries is decomposed onto a semi-direct sum of commutative algebras and four copies of the gauge algebra of the underlying Yang–Mills theory. Possibility of existence of solitons corresponding to the commutative subalgebra of the symmetry algebra is mentioned.
منابع مشابه
Yang-Mills origin of gravitational symmetries.
By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the biadjoint representation, we derive in linearized approximation, the gravitational symmetries of general covariance, p-form gauge invariance, local Lorentz invariance, and local supersymmetry from the flat space Yang-Mills symmetries of local gauge invariance and global su...
متن کاملNew Solutions for Fokker-Plank Equation of Special Stochastic Process via Lie Point Symmetries
In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process. This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process.
متن کاملNon-Linear Abelian Scenarios and Yang-Mills Theory
Yang-Mills Theories [1, 2, 3, 4] play an important hole on the description of both strong and weak interactions, being one of the most successful pillars of Fundamental Interactions. Nowadays electromagnetic and gravitational interactions can also be systematically described by the mechanisms of this class of field theories [5, 6, 7]. Here we develop a different approach to derive from classica...
متن کاملThe Adhm Construction and Non-local Symmetries of the Self-dual Yang–mills Equations
We consider the action on instanton moduli spaces of the non-local symmetries of the self-dual Yang–Mills equations on R discovered by Chau and coauthors. Beginning with the ADHM construction, we show that a sub-algebra of the symmetry algebra generates the tangent space to the instanton moduli space at each point. We explicitly find the subgroup of the symmetry group that preserves the one-ins...
متن کاملConformal Symmetries of the Self-Dual Yang-Mills Equations
We describe an infinite-dimensional Kac-Moody-Virasoro algebra of new hidden symmetries for the self-dual Yang-Mills equations related to conformal transformations of the 4-dimensional base space. On leave of absence from Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia
متن کامل