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pro vyhledávání: '"Finkelstein R"'
Autor:
Finkelstein, R. J.
If the Lie group of a non-Abelian theory is replaced by the corresponding q-group, one is led to replace the Lie algebra by two dual algebras. The first of these lies close to the Lie algebra that it is replacing while the second introduces new degre
Externí odkaz:
http://arxiv.org/abs/hep-th/0402165
Autor:
Finkelstein, R. J.
The q-deformation of the Lie algebras underlying the standard field theories leads to a pair of dual algebras. We describe a simple choice of possible field theories based on these derived algebras. One of these approximates the standard Lie theory o
Externí odkaz:
http://arxiv.org/abs/hep-th/0311192
Autor:
Finkelstein, R. J.
A gauged $SU_q(2)$ theory is characterized by two dual algebras, the first lying close to the Lie algebra of SU(2) while the second introduces new degrees of freedom that may be associated with non-locality or solitonic structure. The first and secon
Externí odkaz:
http://arxiv.org/abs/hep-th/0206021
Autor:
Finkelstein, R. J.
The q-electroweak theory obtained by replacing SU(2) by $SU_q(2)$ in the Weinberg-Salam model is experimentally not distinguishable from the standard model at the level of the doublet representation. However, differences between the two theories shou
Externí odkaz:
http://arxiv.org/abs/hep-th/0110075
Autor:
Finkelstein, R. J.
Publikováno v:
Int.J.Mod.Phys. A18 (2003) 627-650
We have examined the deformation of a generic non-Abelian gauge theory obtained by replacing its Lie group by the corresponding quantum group. This deformed gauge theory has more degrees of freedom than the theory from which it is derived. By going o
Externí odkaz:
http://arxiv.org/abs/hep-th/0106283
Autor:
Finkelstein, R. J.
Publikováno v:
Lett.Math.Phys. 54 (2000) 157-163
The connection between spin and statistics implied by the continuous Lorentz group together with strong reflection (TCP) is shown to hold also for the q-Lorentz group.
Comment: 7 pages, TeX file
Comment: 7 pages, TeX file
Externí odkaz:
http://arxiv.org/abs/hep-th/0010089
Autor:
Finkelstein, R. J.
The q-field theories are constructed by substituting quantum groups for the usual Lie groups. In earlier papers this construction was carried out for the quantum group SU_q(2). Here the investigation is extended to SL_q(3). The resulting theory descr
Externí odkaz:
http://arxiv.org/abs/hep-th/0006155
Autor:
Finkelstein, R. J.
Publikováno v:
Mod.Phys.Lett. A15 (2000) 1709-1716
When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry
Externí odkaz:
http://arxiv.org/abs/hep-th/0003189
Autor:
Finkelstein, R. J.
In non-Abelian field theories with q-symmetry groups the massive particles have a non-local interpretation with a stringlike spectrum. It is shown that a massless vector similarly acquires a tower of masses by spontaneous symmetry breaking.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/hep-th/9908210
Autor:
Finkelstein, R. J.
The straightforward description of q-deformed systems leads to transition amplitudes that are not numerically valued. To give physical meaning to these expressions without introducing {\it ad hoc} remedies, one may exploit an "internal" Fock space al
Externí odkaz:
http://arxiv.org/abs/hep-th/9906135