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Finite-temperature Field Theory - Theoretical Physics (TIFR)

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Basics of Statistical <strong>Physics</strong> and Thermodynamics<br />

Scalar fields at finite <strong>temperature</strong><br />

Interacting scalar fields<br />

Statistical QM<br />

Simple examples<br />

s = S/V = 1 V 〈−lnˆρ〉 = 1 V ln Z + β V 〈Ĥ − µ i ˆN i 〉<br />

= ∂P<br />

∂T = β(P + ε − µ iN i )<br />

◮ Finally obtain energy through other quantities as<br />

E = −PV + TS + µ i N i<br />

◮ Important to note: Thermodynamic pressure =<br />

hydrodynamics pressure = 1 3 〈T ii 〉<br />

logo<br />

Aleksi Vuorinen, CERN<br />

<strong>Finite</strong>-<strong>temperature</strong> <strong>Field</strong> <strong>Theory</strong>

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