Dynamical Symmetry Breaking in SYM Theories as a Non-Semiclassical Effect

TL;DR

This paper investigates how non-semiclassical quantum effects can lead to supersymmetry breaking in N=1 SYM theories, challenging traditional geometric interpretations of the effective potential.

Contribution

It demonstrates that non-semiclassical effects fundamentally alter superspace geometry and can induce supersymmetry breaking, requiring a new interpretative framework.

Findings

Non-semiclassical effects change auxiliary field behavior

Superspace geometry is not fully relevant for effective potential

Supersymmetry can be broken by quantum effects

Abstract

We study supersymmetry breaking effects in N=1 SYM from the point of view of quantum effective actions. Restrictions on the geometry of the effective potential from superspace are known to be problematic in quantum effective actions, where explicit supersymmetry breaking can and must be studied. On the other hand the true ground state can be determined from this effective action, only. We study whether some parts of superspace geometry are still relevant for the effective potential and discuss whether the ground states found this way justify a low energy approximation based on this geometry. The answer to both questions is negative: Essentially non-semiclassical effects change the behavior of the auxiliary fields completely and demand for a new interpretation of superspace geometry. These non-semiclassical effects can break supersymmetry.