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 TMF, 2015, Volume 182, Number 1, Pages 140–157 (Mi tmf8742)

This article is cited in 2 scientific papers (total in 2 papers)

Tensor gluons and proton structure

G. K. Savvidi

Institute of Nuclear and Particle Physics, Demokritos National Research Center, Athens, Greece

Abstract: We recently considered a possibility that inside a proton and, more generally, inside hadrons there could be additional partons, tensor gluons, which carry a part of the proton momentum. Tensor gluons have zero electric charge, like gluons, but have a larger spin, and we therefore call them tensor gluons. A nonzero density of tensor gluons can be generated by the emission of tensor gluons by gluons. Tensor gluons can further split into pairs of tensor gluons through different channels. To describe all these processes, we must know the general splitting probabilities for tensor gluons. These probabilities should satisfy very general symmetry relations, which we can resolve by introducing a splitting index. This approach allows finding the general form of the splitting functions, deriving the corresponding DGLAP evolution equations, and calculating the one-loop Callan–Symanzik beta function for tensor gluons of a given spin. Our results provide a nontrivial consistency check of the theory and of the Callan–Symanzik beta function calculations because the theory has a unique coupling constant and its high-energy behavior should be universal for all particles of the spectrum. We argue that the contribution of all spins to the beta function vanishes, leading to a conformal invariant theory.

Keywords: gauge theory, tensor gluon, renormalization group, Callan–Symanzik beta function, splitting function, DGLAP equation, asymptotic freedom

 Funding Agency Grant Number General Secretariat for Research and Technology European Regional Development Fund This work was supported in part by the General Secretariat for Research and Technology of Greece and the European Regional Development Fund MIS-448332-ORASY (NSRF 2007-13 ACTION, KRIPIS).

DOI: https://doi.org/10.4213/tmf8742

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English version:
Theoretical and Mathematical Physics, 2015, 182:1, 114–129

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Received: 20.06.2014

Citation: G. K. Savvidi, “Tensor gluons and proton structure”, TMF, 182:1 (2015), 140–157; Theoret. and Math. Phys., 182:1 (2015), 114–129

Citation in format AMSBIB
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This publication is cited in the following articles:
1. G. Savvidy, “Generalization of the Yang-Mills theory”, Int. J. Mod. Phys. A, 31:1 (2016), 1630003
2. R. Kirschner, G. Savvidy, “Yangian and SUSY symmetry of high spin parton splitting amplitudes in generalised Yang-Mills theory”, Mod. Phys. Lett. A, 32:23 (2017), 1750121
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