Studies in Supersymmetry and Quantum (super)gravity.
Abstract
We obtain the spontaneously broken N = 8 supergravity model in four dimensions by generalized dimensional reduction of the massless N = 8 supergravity model in five dimensions. We show that the mass dependent oneloop ultraviolet divergences of various tadpole and selfenergy graphs cancel. We calculate the oneloop ultraviolet divergences of antisymmetric tensor fields A(,(mu)(nu)) coupled to gravity. We find that the counterterms for coupling A(,(mu)(nu)(rho)) to gravity are onshell zero, while the coupling of A(,(mu)(nu)) or A(,(mu)(nu)(rho)) and a scalar (phi) to gravity are equal to those for the coupling of a scalar (phi) to gravity. We construct a complete set of spin projection operators for the vierbein e(,(mu))('a) and the spin connection (omega)(,(mu))('ab) and analyse the particle content of a class of R + R('2) type actions. We find a new class of such actions which are ghostand tachyonfree and propagate, in addition to the massless gravition, a massive torsion with J('P) (LESSTHEQ) 2 or massless torsion with J('p) = 1('). We calculate the twoand threepoint functions of the globally supersymmetric massive WessZumino model at the twoloop level by means of ordinary dimensional regularization. We show that they satisfy the supersymmetry Ward identities despite the fact that the ordinary dimesional regularization scheme has the drawback in the case of the supersymmetric theories because the fermionic and bosonic degrees of freedom are in general not equal at dimensions different from four.
 Publication:

Ph.D. Thesis
 Pub Date:
 1980
 Bibcode:
 1980PhDT.......259S
 Keywords:

 Physics: Elementary Particles and High Energy