Sum rule for the twist four longitudinal structure function

doi:10.1016/S0370-2693(97)01410-X

1998-01-01

DOI：10.1016/S0370-2693(97)01410-X

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摘要

En 中文

We investigate the twist four longitudinal structure function F-L(tau=4) of deep inelastic scattering and show that the integral of F-L(tau=4)/x is related to the expectation value of the fermionic part of the light-front Hamiltonian density at fixed momentum transfer. We show that the new relation, in addition to providing physical intuition on F-L(tau=4), relates the quadratic divergences of F-L(tau=4) to the quark mass correction in light-front QCD and hence provides a new pathway for the renormalization of the corresponding twist four operator. The mixing of quark and gluon operators in QCD naturally leads to a twist four longitudinal gluon structure function and to a new sum rule integral dxF(L)/x = 4M(2)/Q(2), which is the first sum rule obtained for a twist four observable. The validity of the sum rule in a non-perturbative context is explicitly verified in two-dimensional QCD. (C) 1998 Elsevier Science B.V.

Keyword:

twist four longitudinal structure function

light-front QCD Hamiltonian

sum rule

quadratic divergences

renormalization

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期刊

Physics Letters B

IF:

4.5

论文数:

3.2W

被引数:

7.3W

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