Alexander Love

Approach to asymptotic freedom in neutrino production and electroproduction

The recent discovery that non-Abelian gauge theories of the strong interactions possess an attractive fixed point of the renormalization group at zero coupling constant, which made posslble a field-theoretic explanation of Bjorken scaling, and was previously applied to electroproduction and e/sup +/ + e/ sup -/ annihilation logarithmic corrections is extended to include neutrino production. Attention is focused on the possibility that the strong interaction gauge group is the SU(3) group which acts on the color indices of three triplets of Gell-Mann-Zweig quarks. The moments of the structure functions are found. (JFP)

Yukawa couplings involving excited twisted-sector states for ZN and ZM × ZN orbifolds

We study the Yukawa couplings among excited twist fields which might arise the low-energy effective field theory obtained by compactifying the heterotic string on ZN and ZM × ZN orbifolds.

Twisted Sector Yukawa Couplings For The

Abstract The moduli dependent Yukawa couplings between twisted sectors of Z M × Z N Coxeter orbifolds are studied.

{\bf Z}_M\times {\bf Z}_N

Abstract A discussion is given of how far the good results of SU W (6) for electromagnetic decays can be recovered from the transformation between “current quarks” and “constituent quarks”, and the bad results avoided.

Orbifolds

In th is b r ie f no te we consider t he possibi l i ty t h a t t he v e r y na r row resonance (~) seen in e+e ann ih i l a t ion a t 3.1 GeV m a y be an c lec t romagne t i ca l ly p roduced ~ colour ,~ oc te t s ta te which is p r e v e n t e d f rom unde rgo ing s t r~ng decays by an exac t ~ eolour ~ SU3-symmet ry , t he re be ing no eo lour oc te t mesons of lower mass. The mode l we have in m i n d is t he mode l of H a n N a m b u t y p e (~) in which t he r e is an [SU3]" | [SU3] group w i t h t he [SU3]" be ing ident i f ied wi th t he ~ o rd ina ry ~ classification S U 3 and the [SU3] be ing a ~colour ~ group. The charge ope ra to r is t aken to be

SU(3) × S(3) of currents, SUW(6) of constituents, and electromagnetic decays

Due to the unappreciated existence of flat regions of the effective potential (&>, which can simulate a minimum unless high precision numerical calculations are performed, the detailed calculations in this paper are wrong. Correct calculations of all of the cases presented yield results consistent with zero CP violation. However, the general qualitative features noted are observed in other calculations, to be presented elsewhere [ 11. These are that although a priori one might expect that if the T moduli have complex values at the minimum of xff then the CP violation would be large, this expectation is generically not realized, (a) because the minimum of V& occurs at a fixed point of the modular function g2, or at some other zero, or (b) because when Re T is large compared with its fixed point value, then ImC^2 is small.

Remarks concerning the e + e resonance at 3.1 GeV

The unification of electromagnetism and weak interactions leads to anisotropic mixing of the electroweak gauge bosons in p-wave superconductors. It also leads to parity violating components in the gap matrix.

Spontaneous breaking of CP symmetry by orbifold moduli (Phys. Lett. B 357 (1995) 387 )

Abstract The possibility of an enhancement of the short-distance contribution to ΔS = − ΔQ semileptonic processes is investigated in the context of asymptotically free gauge theories of the strong interactions.