The behavior of bosonic systems in the presence of space-time foam is analyzed within the simplistic model of a set of scalar fields on a flat background. We discuss the formula for the path integral which allows to account for the all possible topologies of spacetime. We show that the proper path integral originates from the parastatistics suggested first by H.S. Green and that it defines a cu...

The equivalence is proved between fermionic and scalar field theories on Riemann surfaces of arbitrary topology. The effects of global topology include a modification of the bosonic action. Disciplines Physical Sciences and Mathematics | Physics Comments At the time of publication, author Philip C. Nelson was affiliated with Harvard University. Currently, he is a faculty member in the Physics &...

Free scalar field theory in the sector with a large number of particles can be interpreted as bosonic string theory on anti-de Sitter space of vanishing radius. Different ways of writing the field theory Hamiltonian translate to different ways of reparametrizing the world-sheet σ coordinate. Adding a mass term in the field theory corresponds to cutting off the warped AdS direction, with cut-off...

We continue our previous analysis (hep-th/0412043) of 1/2 BPS solutions to minimal 6d supergravity of bubbling form. We show that, by turning on an axion field in the T 2 torus reduction, the constraint F ∧ F , present in the case of an S × S reduction, is relaxed. We prove that the four-dimensional reduction to a bosonic field theory, whose content is the metric, a gauge field, two scalars and...

We report on recent progress in the use of string techniques for the computation of field theory amplitudes. We show how one–loop renormalization constants in Yang–Mills theory can be computed using the open spinning string, we review the calculation of two–loop scalar amplitudes with the bosonic string, and we briefly indicate how the technique can be applied to the two–loop vacuum bubbles of ...

We analyze the pattern of fields in d + 1 dimensional anti-de Sitter space in terms of those in d dimensional anti-de Sitter space. The procedure, which is neither dimensional reduction nor dimensional compactification, is called dimensional degression. The analysis is performed group-theoretically for all totally symmetric bosonic and fermionic representations of the anti-de Sitter algebra. Th...

We study the second quantization of field theory on the q–deformed fuzzy sphere for q ∈ R. This is performed using a path integral over the modes, which generate a quasiassociative algebra. The resulting models have a manifest Uq(su(2)) symmetry with a smooth limit q → 1, and satisfy positivity and twisted bosonic symmetry properties. A systematic way to calculate n–point correlators in perturb...

We propose a refinement of the physical picture describing different vacua in bosonic string theory. The vacua with closed strings and open strings are connected by the string field theory version of the Higgs mechanism, generalizing the Higgs mechanism of an abelian gauge field interacting with a complex scalar. In accordance with Sen’s conjecture, the condensation of the tachyon is an essenti...

In a previous paper we have shown how, for bosonic fields, the generating functional in both relativistic quantum field theory and thermal field theory can be evaluated by use of a standard quantum mechanical path integral. In this paper we extend this method to include fermionic fields. A particular problem is posed by Green’s functions with external fermionic lines, where the different bounda...