منابع مشابه
Noncommutative Gauge Theory on the q-deformed Euclidean Plane
The physical nature of space at very short distances is still not known. Already Heisenberg proposed in a letter to Peierls [1] that spacetime is quantized below some scale, suggesting that this could help to resolve the problem of infinities in quantum field theories. With this motivation, there has been a lot of work and progress in the formulation of quantum field theory on quantized or nonc...
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Gauge theories on q-deformed spaces are constructed using covariant derivatives. For this purpose a “vielbein” is introduced, which transforms under gauge transformations. The non-Abelian case is treated by establishing a connection to gauge theories on commutative spaces, i.e. by a Seiberg-Witten map. As an example we consider the Manin plane. Remarks are made concerning the relation between c...
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متن کاملThe Erwin Schrr Odinger International Institute for Mathematical Physics A-1090 Wien, Austria Su Q (2) Lattice Gauge Theory Su Q (2) Lattice Gauge Theory
We reformulate the Hamiltonian approach to lattice gauge theories such that, at the classical level, the gauge group does not act canonically, but instead as a Poisson-Lie group. At the quantum level, it then gets promoted to a quantum group gauge symmetry. The theory depends on two parameters-the deformation parameter and the lattice spacing a. We show that the system of Kogut and Susskind is ...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1996
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x9600033x