Heidelberg 2022 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 12: Quantum field theory for particle physics and plasmas

MP 12.3: Talk

Thursday, March 24, 2022, 17:55–18:15, MP-H5

Higgs Mechanism — •Abhishek Goswami — Adam Mickiewicz University, Poznan, Poland

In the Standard Model of particle physics, the interaction of a particle with the Higgs boson is responsible for its mass generation. This principle is known as the Higgs mechanism. In this talk, I will discuss a rigorous, non-perturbative proof of the Higgs mechanism. I will start with a weakly coupled U(1) Higgs theory on a unit lattice and show the exponential decay of correlations of the observable electromagnetic field strength tensor. This is the mass gap. I will also discuss the application of a new power series cluster expansion to this problem and explain how it provides a clean and simple alternative to decoupling cluster expansions in Constructive QFT.

Reference- Goswami, A. Mass Gap in Weakly Coupled Abelian Higgs on a Unit Lattice. Ann. Henri Poincaré 20, 3955-3996 (2019).