Geometrical formalism in gauge theories
نویسنده
چکیده
We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the problem of classification of principal fibre bundles, which is important for the quantization of gauge theories. Some results for bundles over two-dimensional spaces are presented.
منابع مشابه
Nilpotent symmetry invariance in the superfield formalism: the 1-form (non-)Abelian gauge theories
We capture the well-known off-shell as well as the on-shell nilpotent BecchiRouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance(s) of the Lagrangian densities of the four (3 + 1)-dimensional (4D) 1-form (non-)Abelian gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invariance(s...
متن کاملNilpotent symmetry invariance in the superfield formalism: the (non-)Abelian 1-form gauge theories
We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-StoraTyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invariance, and (ii) the a...
متن کاملNilpotent Symmetry Invariance in the Superfield Formulation: the (non-)abelian 1-form Gauge Theories
We capture the off-shell as well as the on-shell nilpotent Becchi-Rouet-StoraTyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3 + 1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invariance, and (ii) the a...
متن کاملCovariant Quantisation in the Antifield Formalism
In this thesis we give an overview of the antifield formalism and show how it must be used to quantise arbitrary gauge theories. The formalism is further developed and illustrated in several examples, including Yang-Mills theory, chiral W3 and W2,5/2 gravity, strings in curved backgrounds and topological field theories. All these models are characterised by their gauge algebra, which can be ope...
متن کاملNilpotent Symmetry Invariance In Superfield Formalism: 1-Form (Non-)Abelian Gauge Theories
We capture the well-known off-shell as well as the on-shell nilpotent BecchiRouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the Lagrangian densities of the four (3 + 1)-dimensional (4D) 1-form (non-)Abelian gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invarianc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008