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Nuclear Physics | 1979

QCD higher order effects in spin-dependent deep inelastic electroproduction

Jiro Kodaira; Satoshi Matsuda; Ken Sasaki; Tsuneo Uematsu

QCD effects beyond the leading logarithmic approximation are considered for polarized deep inelastic electroproduction. The corrections of the order g2 to the coefficient functions in the Wilson expansion are calculated by evaluating the Green function for the current product as well as those for the composite operators. We shall clarify how to normalize the composite operators and discuss the renormalization-scheme dependence. It is pointed out that the Q2 dependence is different between the massless and massive quark models.


Physics Letters B | 1981

Virtual photon structure

Tsuneo Uematsu; T.F. Walsh

Abstract The structure functions of a real photon are calculable in QCD. The leading contribution is proportional to 1n Q 2 , with a coefficient reflecting the gluon flux in a real photon. We investigate this leading term for non-zero target photon mass. In an appropriate limit the gluon content in a virtual photon is found to vanish. The gluon radiative corrections of QCD can thus be turned off by tuning the target photon mass.


Physics Letters B | 1978

Q2 dependence of quark and gluon fragmentation functions in a parton picture based on QCD

Tsuneo Uematsu

Abstract The Q2 dependence of quark and gluon fragmentation functions is investigated within the framework of a parton model based on Quantum Chromodynamics (QCD). Contributions from gluon fragmentation become important through the mixing effects at large Q2. The Q2-dependent fragmentation functions are shown to satisfy the momentum conservation constraints.


Nuclear Physics | 1980

Target Mass Effects in Polarized Electroproduction

Satoshi Matsuda; Tsuneo Uematsu

Abstract We examine the target mass effects in spin-dependent deep inelastic electroproduction within the framework of Wilsons operator product expansion. Simple analytic expressions for the Nachtmann moments of polarized structure functions g 1 and g 2 are obtained and their Q 2 evolutions are considered in QCD. The Bjorken and Burkhardt-Cottingham sum rules including target mass effects are derived and the QCD g 2 corrections are discussed.


Journal of Mathematical Physics | 2001

Generating all Wigner functions

Thomas Curtright; Tsuneo Uematsu; Cosmas K. Zachos

In the context of phase-space quantization, matrix elements and observables result from integration of c-number functions over phase space, with Wigner functions serving as the quasiprobability measure. The complete sets of Wigner functions necessary to expand all phase-space functions include off-diagonal Wigner functions, which may appear technically involved. Nevertheless, it is shown here that suitable generating functions of these complete sets can often be constructed, which are relatively simple, and lead to compact evaluations of matrix elements. New features of such generating functions are detailed and explored for integer-indexed sets, such as for the harmonic oscillator, as well as continuously indexed ones, such as for the linear potential and the Liouville potential. The utility of such generating functions is illustrated in the computation of star functions, spectra, and perturbation theory in phase space.


Physics Letters B | 1996

QCD corrections to the nucleon's spin structure function g2(x, Q2)

Jiro Kodaira; Yoshiaki Yasui; Kazuhiro Tanaka; Tsuneo Uematsu

Abstract We investigate the renormalization of the twist-3 operators which are relevant for the spin-dependent structure function g 2 ( x , Q 2 ). We derive the anomalous dimension for the non-singlet part by calculating the off-shell Greens functions of the twist-3 operators including the operators which are proportional to the equation of motion.


Physics Letters B | 1992

S-matrix of N=2 supersymmetric sine-Gordon theory

Ken-ichiro Kobayashi; Tsuneo Uematsu

Abstract We investigate the S -matrix of N =2 supersymmetric sine-Gordon theory based on the N =2 supersymmetry and the quantum group structure. The topological charges play an important role to derive physical contents.


European Physical Journal C | 1992

Differential calculus on the quantum superspace and deformation of phase space

Tatsuo Kobayashi; Tsuneo Uematsu

AbstractWe investigate non-commutative differential calculus on the supersymmetric version of quantum space in which quantum supergroups are realized. Multiparametric quantum deformation of the general linear super-group,GLq(m|n), is studied and the explicit form for the


Physics Letters B | 1995

Target mass effects in QCD Bjorken sum rule

Hiroyuki Kawamura; Tsuneo Uematsu


Physics Letters B | 1995

Spin structure function g2(x, Q2) and twist-3 operators in QCD

Jiro Kodaira; Yoshiaki Yasui; Tsuneo Uematsu

\hat R - matrix

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Ken Sasaki

Yokohama National University

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Satoshi Matsuda

Kansai Medical University

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