Finite-temperature Field Theory - Theoretical Physics (TIFR)
Finite-temperature Field Theory - Theoretical Physics (TIFR)
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>