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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 />

Example: Pressure of massless ϕ 4 theory<br />

◮ To obtain pressure of ϕ 4 theory to 4 loops, must evaluate<br />

◮ Up to two loops:<br />

( ∫ ∑<br />

p(T ) = p 0 (T ) − 3λ<br />

≡<br />

( ∫ ∑<br />

p 0 (T ) − 3λ<br />

P<br />

P<br />

)<br />

1 2<br />

ωn 2 + p 2<br />

)<br />

1 2<br />

P 2<br />

where the sum-integral reads...<br />

logo<br />

Aleksi Vuorinen, CERN<br />

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

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