English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We construct a compactification of Polyakov model on $T^2 \times \mathbb R $down to quantum mechanics which remembers non-perturbative aspects of fieldtheory even at an arbitrarily small area. Standard compactification on small$T^2 \times \mathbb R $ possesses a unique perturbative vacuum (zero magneticflux state), separated parametrically from higher flux states, and theinstanton effects do not survive in the Born-Oppenheimer approximation. Byturning on a background magnetic GNO flux in co-weight lattice corresponding toa non-zero 't Hooft flux, we show that $N$-degenerate vacua appear at smalltorus, and there are $N-1$ types of flux changing instantons between them. Weconstruct QM instantons starting with QFT instantons using the method ofreplicas. For example, $SU(2)$ gauge theory with flux reduces to thedouble-well potential where each well is a fractional flux state. Despite theabsence of a mixed anomaly, the vacuum structure of QFT and the one of QM arecontinuously connected. We also compare the quantum mechanical reduction of thePolyakov model with the deformed Yang-Mills, by coupling both theories toTQFTs. In particular, we compare the mass spectrum for dual photons and energyspectrum in the QM limit. We give a detailed description of critical points atinfinity in the semi-classical expansion, and their role in resurgencestructure.

Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory