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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].

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Path integrals on statistical mechanics

The process of turning spins into fields in the physics literature is done by using a process of coarse-grain, which is usually explained in a purely qualitative way. … So I'd like to know if there is something rigorous about how spins become fields or even about Landau's theory itself. …
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