Some Rigorous Results on Symmetry Breakings in Gauge QFT
Franco Strocchi
TL;DR
This paper discusses non-perturbative results related to symmetry breaking in the Standard Model, addressing mathematical challenges in quantum field theory beyond perturbation methods.
Contribution
It provides rigorous insights into symmetry breaking mechanisms in gauge quantum field theories, moving beyond traditional perturbative approaches.
Findings
Non-perturbative understanding of symmetry breaking
Addressing mathematical issues in QFT
Insights into the Standard Model's structure
Abstract
The extraordinary success of the Standard Model asks for a more rigorous control beyond the perturbative approach, which is affected by mathematical problems (interaction picture and canonical quantization, non-convergence of the perturbative series, trivialy results for the model and related models etc.). We shall briefly discuss sone non-perturbative results concerning the crucial role and realization of symmetry breakings in the Standard Model.
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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum chaos and dynamical systems · Numerical methods for differential equations