Abstract
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 ad hoc remedies, one may exploit an “internal” Fock space already defined by the q-algebra. This internal space may be interpreted in terms of internal degrees of freedom of the deformed system or alternatively in terms of non-locality. It is shown that the q-deformation may give stringy characteristics to a Yang-Mills theory.
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References
Finkelstein, R.: Observable Properties of q-Deformed Physical Systems, Lett. Math. Phys. 49 (1999), 105–114.
Woronowicz, S. L.: Differential calculus on compact matrix pseudogroups (quantum groups), Comm. Math. Phys. 122 (1989), 125–170.
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© 2000 Kluwer Academic Publishers
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Finkelstein, R.J. (2000). Gauged q-fields. In: Dito, G., Sternheimer, D. (eds) Conférence Moshé Flato 1999. Mathematical Physics Studies, vol 21/22. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-1276-3_9
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DOI: https://doi.org/10.1007/978-94-015-1276-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5551-4
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