Light-front-quantized QCD in a covariant gauge

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 2, 2000, Pages

  Srivastava, Prem P ^a   Brodsky, Stanley J ^a  

^a SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044379012     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.025013     Document Type: Article

References (45)

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40. hep-th/9610149The LF spin operator may be defined by (Formula presented) where (Formula presented) is a Pauli-Lubanski four vector. We can verify the identity (Formula presented) where (Formula presented) and (Formula presented) are the kinematical boost operators in the standard notation. For the Dirac spinor we obtain (Formula presented) with the property (Formula presented) where (Formula presented) The other dynamical components (Formula presented) may also be defined.
41. P. P. Srivastava and E. C. G. Sudarshan, Phys. Rev. 110, 765 (1958). In fact, in LF coordinates we have (Formula presented) analogous to the conventional one where (Formula presented) with (Formula presented)
42. The Dyson-Wick perturbation theory expansion Feynman rules in configuration space, following from the application of Wick’s theorem to τ-ordered product of operators, are discussed, for example, in Ref. 15. The Fourier transform of the fields and the propagators as given in the text permit us to write down the corresponding matrix element in the momentum space. The expressions with the nonlocality in the (Formula presented) direction may be handled, for example, as illustrated below (Formula presented) The covariant gauge formulation of light-cone perturbation theory has several features which simplify computations. The computational rules for light-cone perturbation theory in Feynman gauge are identical to the rules given for light-cone gauge in Ref. 11 with the following changes: (a) The instantaneous contributions to the gauge propagator proportional to (Formula presented) are removed. (b) The completeness sum over the four polarization vectors of the gauge propagator is (Formula presented) as discussed in Sec. III. The longitudinal or scalar Gupta-Blueler gauge bosons couple (Formula presented) to (Formula presented) currents. The physical transverse polarization vectors (Formula presented) are the same as in light cone gauge. Only the physically polarized gauge particles will appear in an on-shell initial or final state. (c) The required light-cone spinor matrix elements (Formula presented) and (Formula presented) are given in Tables I and II of Ref. 11. In addition, the matrix element (Formula presented) can be computed from (Formula presented)
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