Scientific and Technical Aerospace Reports Volume 38 July 28, 2000

20000065668 Argonne National Lab., IL USA
Lattice formulation of chiral gauge theories
Bodwin, G. T.; Dec. 31, 1995; 69p; In English
Report No.(s): DE97-007882; ANL-HEP-PR-95-59-REV; No Copyright; Avail: Department of Energy Information Bridge
The authors present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use
of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of
the fermion determinant is replaced with the square root of the determinant for a fermion with vector-like couplings to the gauge
field; a double limit is taken in which the lattice spacing associated with the fermion field is taken to zero before the lattice spacing
associated with the gauge field. The method applies only to theories whose fermions are in an anomaly-free representation of the
gauge group. They also present a related technique for computing matrix elements of operators involving fermion fields. Although
the analyses of these methods are couched in weak-coupling perturbation theory, it is argued that computational prescriptions are
gauge invariant in the presence of a nonperturbative gauge-field configuration.
NTIS
Gauge Theory; Lattices (Mathematics); Chirality
20000065671 Joint Inst. for Nuclear Research, Bogolyubov Lab. of Theoretical Physics, Dubna, USSR
Renormalon chains contributions to non-singlet evolution kernels in QCD
Mikhajlov, S.; Dec. 31, 1998; 12p; In English
Report No.(s): DE99-607975; JINR-E-2-98-43; No Copyright; Avail: Department of Energy Information Bridge
Contributions to QCD non-singlet evolution kernels P (z) for the DGLAP equation and V (x,y) for the Brodsky-Lepage evolution
equation are calculated for a certain class of diagrams which include renormalon chains. Closed expressions are presented
for the sums of these contributions that dominate for a large number of flavors N(sub f);1. Calculations are performed in covariant
(xi)-gauge, in the MS bar scheme. The assumption of ’naive nonabelianization’ approximation for kernel calculations is discussed.
The partial solution to the Brodsky-Lepage evolution equation is obtained.
NTIS
Chains; Kernel Functions; Quantum Chromodynamics
20000065672 Joint Inst. for Nuclear Research, Bogolyubov Lab. of Theoretical Physics, Dubna, USSR
Hidden symmetry of the Yang-Coulomb monopole
Mardoyan, L. G.; Sisakyan, A. N.; Ter-Antonyan, V.; Dec. 31, 1998; 8p; In English
Report No.(s): DE99-607976; JINR-E-2-98-46; No Copyright; Avail: Department of Energy Information Bridge
The bound system composed of the Yang monopole coupled to a particle of the isospin by the SU (2) and Coulomb interaction
is considered. The generalized Runge-Lenz vector and the SO(6) group of hidden symmetry are established. It is also shown that
the group of hidden symmetry makes it possible to calculate the spectrum of the system by a pure algebraic method.
NTIS
Symmetry; Monopoles
20000065675 Joint Inst. for Nuclear Research, Bogolyubov Lab. of Theoretical Physics, Dubna, USSR
Table of integrals. Asymptotical expressions for non-collinear kinematics
Arbuzov, A. B.; Belitskij, A. V.; Kuraev, E.; Shajkhatdenov, B. G.; Dec. 31, 1998; 27p; In English
Report No.(s): DE99-607979; JINR-E-2-98-53; No Copyright; Avail: Department of Energy Information Bridge
A set of Feynman integrals appearing in calculations of different QED processes to the one-loop accuracy is presented. Scalar,
vector and tensor integrals with two, three, four and five denominators are considered. The cases of equal and different fermion
masses are considered. Results obtained are valid in the region where all kinematical invariants are large compared to the masses
squared. Mass corrections for some scalar integrals in the case of different fermion masses are also given.
NTIS
Integrals; Mathematical Tables; Feynman Diagrams
20000065676 Joint Inst. for Nuclear Research, Bogolyubov Lab. of Theoretical Physics, Dubna, USSR
Description of the higher massless irreducible integer spins in the BRST approach
Pashnev, A.; Tsulaya, M.; Dec. 31, 1998; 15p; In English
Report No.(s): DE99-607980; JINR-E-2-98-56; No Copyright; Avail: Department of Energy Information Bridge
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