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 />
Statistical QM<br />
Simple examples<br />
Grand canonical ensemble<br />
◮ Assume system that is free to exchange both energy and<br />
particles with a reservoir<br />
◮ ”Grand canonical ensemble”<br />
◮ System described by <strong>temperature</strong> T and chemical<br />
potentials µ i<br />
◮ Basic operator statistical density matrix ˆρ<br />
[<br />
]<br />
ˆρ ≡ Z −1 exp −β(Ĥ − µ ˆN i<br />
} {{ } i ) ,<br />
≡ ¯H<br />
〈Â〉 = Tr[ˆρÂ]<br />
◮<br />
β = 1/T and µ Lagrangian multipliers ensuring<br />
conservation of E and N i<br />
logo<br />
Aleksi Vuorinen, CERN<br />
<strong>Finite</strong>-<strong>temperature</strong> <strong>Field</strong> <strong>Theory</strong>
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