1,721,091 research outputs found
Anomaly non-renormalization, lattice QFT, and universality of transport coefficients
No full textRecently new methods have been introduced to investigate the non-renormalization properties of the anomalies at a non perturbative level and in presence of a lattice. The issue is relevant in a number of problems ranging from the anomaly-free construction of chiral lattice gauge theory with large cut-off to the universality properties observed in transport coefficients in condensed matter systems. A review of main results and future perspectives is presented
The absence of logarithmic divergences in the spin and charge density correlations of the 1d Hubbard model
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Anomaly cancellation in the lattice effective electroweak theory
No full textThe anomaly cancellation is at the basis of the perturbative consistence of the Standard Model, and it provides a partial explanation of charge quantization. We consider an effective electroweak theory on a lattice, with a quartic interaction describing the weak forces and an interaction with the e.m. field. We prove the validity of the anomaly cancellation at a non-perturbative level and with a finite lattice cutoff, even if the lattice breaks some important symmetries, on which perturbative arguments for the cancellation are based. The method of the proof has analogies with the one adopted for establishing the universality in transport of quantum materials
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