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Transverse spin in QCD: Radiative corrections

A. Harindranath* and Asmita Mukherjee†

Raghunath Ratabole‡

  • Saha Institute of Nuclear Physics, 1/AF, Bidhan Nagar, Calcutta 700064, India

  • Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India

  • *Email address: hari@tnp.saha.ernet.in
  • †Email address: asmita@tnp.saha.ernet.in
  • ‡Email address: raghu@cts.iisc.ernet.in
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Phys. Rev. D 63, 045006 – Published 19 January, 2001

DOI: https://doi.org/10.1103/PhysRevD.63.045006

Abstract

In this paper we address various issues connected with transverse spin in light front QCD. The transverse spin operators, in the A+=0 gauge, expressed in terms of the dynamical variables are explicitly interaction dependent unlike the helicity operator which is interaction independent in the topologically trivial sector of light-front QCD. Although it cannot be separated into an orbital and a spin part, we have shown that there exists an interesting decomposition of the transverse spin operator. We discuss the physical relevance of such a decomposition. We perform a one loop renormalization of the full transverse spin operator in light-front Hamiltonian perturbation theory for a dressed quark state. We explicitly show that all the terms dependent on the center of mass momenta get canceled in the matrix element. The entire nonvanishing contribution comes from the fermion intrinsiclike part of the transverse spin operator as a result of cancellation between the gluonic intrinsiclike and the orbital-like part of the transverse spin operator. We compare and contrast the calculations of transverse spin and helicity of a dressed quark in perturbation theory.

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Outline

Information

Phys. Rev. D 63, 045006– Published 19 January, 2001
  • Received 27 April 2000

© 2001 American Physical Society

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