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Statistical field theory

01SPCPF

A.A. 2023/24

Course Language

Inglese

Course degree

Master of science-level of the Bologna process in Physics Of Complex Systems (Fisica Dei Sistemi Complessi) - Torino/Trieste/Parigi

Course structure
Teaching Hours
Teachers
Teacher Status SSD h.Les h.Ex h.Lab h.Tut Years teaching
Teaching assistant
Espandi

Context
SSD CFU Activities Area context
FIS/02 6 B - Caratterizzanti Discipline matematiche, fisiche e informatiche
2019/20
Statistical field theory (J-B Fournier. 6 ECTS) While statistical mechanics deals with averages and fluctuations of global quantities, statistical field theory copes with their spatial fluctuations and correlations. By the so-called coarse-graining procedure, one can define for any quantity of interest a field, and, based on symmetry arguments, an effective Hamiltonian that describes its fluctuations. Advanced tools, such as functional integrals, Feynman diagrams, Wick theorem, and renormalization group (RG), are used to perform calculations. Statistical field theory is particularly adapted to study critical phase transitions, in which scale-free fluctuations are responsible for universal behaviours. The course introduces percolation as a geometrical example of critical phenomena, and develops detailed statistical field theoretical calculations for magnetic systems described by the O(n) and φ4 coarse-grained models, which are found in many other areas of condensed and soft matter physics.
Statistical field theory (J-B Fournier. 6 ECTS) While statistical mechanics deals with averages and fluctuations of global quantities, statistical field theory copes with their spatial fluctuations and correlations. By the so-called coarse-graining procedure, one can define for any quantity of interest a field, and, based on symmetry arguments, an effective Hamiltonian that describes its fluctuations. Advanced tools, such as functional integrals, Feynman diagrams, Wick theorem, and renormalization group (RG), are used to perform calculations. Statistical field theory is particularly adapted to study critical phase transitions, in which scale-free fluctuations are responsible for universal behaviours. The course introduces percolation as a geometrical example of critical phenomena, and develops detailed statistical field theoretical calculations for magnetic systems described by the O(n) and φ4 coarse-grained models, which are found in many other areas of condensed and soft matter physics.
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Lecture on Phase Transitions and the Renormalization Group, N. Goldenfeld, Frontiers in Physics. Statistical Physics of Fields, M. Kardar, Cambridge University Press. Principles of Condensed Matter Physics, P. Chaikin and T. C. Lubensky, Cambridge University Press.
Lecture on Phase Transitions and the Renormalization Group, N. Goldenfeld, Frontiers in Physics. Statistical Physics of Fields, M. Kardar, Cambridge University Press. Principles of Condensed Matter Physics, P. Chaikin and T. C. Lubensky, Cambridge University Press.
ModalitÓ di esame: Prova scritta (in aula);
Exam: Written test;
... .
Gli studenti e le studentesse con disabilitÓ o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'UnitÓ Special Needs, al fine di permettere al/la docente la declinazione pi¨ idonea in riferimento alla specifica tipologia di esame.
Exam: Written test;
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In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.
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