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 />
Partition function for scalar field theory<br />
Non-interacting examples<br />
Brief note on fermions<br />
◮ For free Dirac fermions, going from QFT transition<br />
amplitude to finite-T partition function proceeds as above<br />
∫<br />
[ ∫ β ∫<br />
Z = D ¯ψDψ exp − dτ d 3 xL E<br />
],<br />
{<br />
}<br />
L = ¯ψ γ 0 ∂ τ − iγ i ∂ i + m ψ<br />
0<br />
◮ What about periodicity?<br />
◮ Spinor fields satisfy canonical anticommutation relations<br />
and are represented by Grassmann variables<br />
◮ Let’s try to repeat our proof of periodicity for bosonic<br />
fields...<br />
logo<br />
Aleksi Vuorinen, CERN<br />
<strong>Finite</strong>-<strong>temperature</strong> <strong>Field</strong> <strong>Theory</strong>
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