Research PapersNo Access

Proton spin: A topological invariant

S. C. Tiwari

S. C. Tiwari

Department of Physics, Institute of Science, Banaras Hindu University, Varanasi 221005, India

Institute of Natural Philosophy, Varanasi 221005, India

E-mail Address: vns_sctiwari@yahoo.com

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https://doi.org/10.1142/S0217751X16501748Cited by:5 (Source: Crossref)

Abstract

Proton spin problem is given a new perspective with the proposition that spin is a topological invariant represented by a de Rham 3-period. The idea is developed generalizing Finkelstein–Rubinstein theory for Skyrmions/kinks to topological defects, and using non-Abelian de Rham theorems. Two kinds of de Rham theorems are discussed applicable to matrix-valued differential forms, and traces. Physical and mathematical interpretations of de Rham periods are presented. It is suggested that Wilson lines and loop operators probe the local properties of the topology, and spin as a topological invariant in pDIS measurements could appear with any value from 0 to $\frac{ℏ}{2}$ $\frac{ℏ}{2}$ , i.e. proton spin decomposition has no meaning in this approach.

Keywords:

PACS: 12.38.Aw, 14.70.Dj, 11.15.-q, 12.38.-t, 12.20.-m

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