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In the quantum mechanical description of any physical system, including a quantum field or a collection of interacting quantum fields, there is always one state vector – one collection of numbers (probability amplitudes) that generalizes what is referred to as the "wave function" in quantum mechanics of particles. In quantum field theory, a better name is a ...


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The calculation you are referring to is for the current induced by a fixed background electromagnetic field in two-dimensional massless QED. Having a background field means quantising the usual fermionic action $$ \bar{\psi}(iD\!\!\!/)\psi $$ with $D_\mu=\partial_\mu + i e A_\mu(x)+i e B_\mu(x)$, where $A_{\mu}(x)$ is a fixed, classical gauge field ...



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