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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 />

Feynman rules at finite <strong>temperature</strong><br />

Thermodynamics of ϕ 4 theory<br />

◮ Conclusion: In evaluating Z , end up computing expectation<br />

values of powers of S I within unperturbed theory<br />

〈S k I 〉 0 =<br />

∫<br />

Dϕ e<br />

−S 0<br />

S k I<br />

∫<br />

Dϕ e −S 0<br />

◮ No external legs: Partition function available through the<br />

computation of vacuum diagrams<br />

◮ As usual, powers of λ count loop order<br />

◮ Challenge: Derive Feynman rules at finite <strong>temperature</strong><br />

logo<br />

Aleksi Vuorinen, CERN<br />

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

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