Archived weekly pre-print 21-08-02
Mon - 08/02/21
Loop quantum gravity related papers
Quantum stability of gauge theories on $κ$-Minkowski space
- Authors: Kilian Hersent, Philippe Mathieu, Jean-Christophe Wallet
- Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)
- Arxiv link: https://arxiv.org/abs/2107.14462
- Abstract We consider a gauge theory on the 5-d $\kappa$-Minkowski which can be viewed as the noncommutative analog of a $U(1)$ gauge theory. We show that the Hermiticity condition obeyed by the gauge potential $A_\mu$ is necessarily twisted. Performing a BRST gauge-fixing, we carry out a first exploration of the one loop quantum properties of this gauge theory. We find that the gauge-fixed theory gives rise to a non vanishing tadpole for the time component of the gauge potential, while there is no non-vanishing tadpole 1-point function for the spatial components of $A_\mu$. This signals that the classical vacuum of the theory is not stable against quantum fluctuations. This result is briefly discussed.
Spin foam related papers
There is no new related paper today
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