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The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics

A. Armoni, M. Shifman

TL;DR

The paper analyzes domain walls and the cosmological constant in N=1 gluodynamics and its orientifold field theory, showing that cancellations between NS-NS and RR exchanges yield zero force between parallel walls and a vanishing leading cosmological constant despite a bosonic IR spectrum. It develops a field theory plus string theory picture using open-closed channel duality, demonstrating that parity-degenerate even/odd glueball spectra drive these cancellations at large N. The study extends to non-supersymmetric planar parent-daughter pairs and discusses implications for chiral symmetry breaking and topological excitations, suggesting that planar equivalence protects certain nonperturbative features. Overall, the work identifies a robust mechanism linking wall dynamics to vacuum energy in both supersymmetric and certain non-supersymmetric gauge theories, with potential predictive power for non-supersymmetric planar pairs.

Abstract

We discuss domain walls and vacuum energy density (cosmological constant) in N=1 gluodynamics and in non-supersymmetric large N orientifold field theories which have been recently shown to be planar equivalent (in the boson sector) to N=1 gluodynamics. A relation between the vanishing force between two parallel walls and vanishing cosmological constant is pointed out. This relation may explain why the cosmological constant vanishes in the orientifold field theory at leading order although the hadronic spectrum of this theory does not contain fermions in the limit N-->infinity. The cancellation is among even and odd parity bosonic contributions, due to NS-NS and R-R cancellations in the annulus amplitude of the underlying string theory. We use the open-closed string channel duality to describe interaction between the domain walls which is interpreted as the exchange of composite ``dilatons'' and ``axions'' coupled to the walls. Finally, we study some planar equivalent pairs in which both theories in the parent-daughter pair are non-supersymmetric.

The Cosmological Constant and Domain Walls in Orientifold Field Theories and N=1 Gluodynamics

TL;DR

The paper analyzes domain walls and the cosmological constant in N=1 gluodynamics and its orientifold field theory, showing that cancellations between NS-NS and RR exchanges yield zero force between parallel walls and a vanishing leading cosmological constant despite a bosonic IR spectrum. It develops a field theory plus string theory picture using open-closed channel duality, demonstrating that parity-degenerate even/odd glueball spectra drive these cancellations at large N. The study extends to non-supersymmetric planar parent-daughter pairs and discusses implications for chiral symmetry breaking and topological excitations, suggesting that planar equivalence protects certain nonperturbative features. Overall, the work identifies a robust mechanism linking wall dynamics to vacuum energy in both supersymmetric and certain non-supersymmetric gauge theories, with potential predictive power for non-supersymmetric planar pairs.

Abstract

We discuss domain walls and vacuum energy density (cosmological constant) in N=1 gluodynamics and in non-supersymmetric large N orientifold field theories which have been recently shown to be planar equivalent (in the boson sector) to N=1 gluodynamics. A relation between the vanishing force between two parallel walls and vanishing cosmological constant is pointed out. This relation may explain why the cosmological constant vanishes in the orientifold field theory at leading order although the hadronic spectrum of this theory does not contain fermions in the limit N-->infinity. The cancellation is among even and odd parity bosonic contributions, due to NS-NS and R-R cancellations in the annulus amplitude of the underlying string theory. We use the open-closed string channel duality to describe interaction between the domain walls which is interpreted as the exchange of composite ``dilatons'' and ``axions'' coupled to the walls. Finally, we study some planar equivalent pairs in which both theories in the parent-daughter pair are non-supersymmetric.

Paper Structure

This paper contains 6 sections, 27 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The Orientifold Field Theory
  3. Parallel Domain Walls versus D Branes
  4. Vanishing of the Vacuum Energy in ${\cal N}=1\ $ SYM and Orientifold Theory
  5. Non-supersymmetric Parent-Daughter Pairs
  6. Conclusions

Figures (1)

  • Figure 1: The annulus diagram for the orientifold field theory. The D branes are domain walls. Closed strings are bosonic glueballs and open strings are UV degrees of freedom.