Exactly solvable models

Schwinger model

In physics, the Schwinger model, named after Julian Schwinger, is the model describing 1+1D (1 spatial dimension + time) Lorentzian quantum electrodynamics which includes electrons, coupled to photons. The model defines the usual QED Lagrangian over a spacetime with one spatial dimension and one temporal dimension. Where is the photon field strength, is the gauge covariant derivative, is the fermion spinor, is the fermion mass and form the two-dimensional representation of the Clifford algebra. This model exhibits confinement of the fermions and as such, is a toy model for QCD. A handwaving argument why this is so is because in two dimensions, classically, the potential between two charged particles goes linearly as , instead of in 4 dimensions, 3 spatial, 1 time. This model also exhibits a spontaneous symmetry breaking of the U(1) symmetry due to a chiral condensate due to a pool of instantons. The photon in this model becomes a massive particle at low temperatures. This model can be solved exactly and is used as a toy model for other more complex theories. (Wikipedia).

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Paul Schatz Mixer etc

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From playlist Talks of Mathematics Münster's reseachers

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From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION

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From playlist Quickstart für die Desktop Version

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From playlist Quickstart für die Desktop Version

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Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to... - Igor Klebanov

IAS Physics Group Meeting Topic: Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model Speaker: Igor Klebanov Affiliation: Princeton University; Member, School of Natural Sciences, IAS June 15, 2022 We revisit the lattice formulation of the Schwinger

From playlist Physics Group Meeting

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New constraints on transport from Schwinger Keldysh theory by Amos Yarom

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From playlist Infosys-ICTS Ramanujan Lectures

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Hugo Duminil-Copin - 1/4 Triviality of the 4D Ising Model

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From playlist Hugo Duminil-Copin - Triviality of the 4D Ising Model

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Loop-String-Hadron Dynamics in a SU(3) Lattice Gauge Theory by Indrakshi Raychowdhury

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Fundamental quantum physics in intense laser fields by Anton Ilderton

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Quark matter in compact Stars by Thomas Klaehn

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Related pages

Maxwell's equations | Dirac equation | Toy model | Spontaneous symmetry breaking | Instanton