Quantum Field Theory in Condensed Matter PhysicsCambridge University Press, 18 בינו׳ 2007 This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics. |
מתוך הספר
תוצאות 1-5 מתוך 26
עמוד
... Fourier transformation of the fields. In condensed matter problems this box isnot imaginary, but real.Another natural way tomake the numberof degreesoffreedom finite istoput the system on a lattice. Again,in condensed matter physicsa ...
... Fourier transformation of the fields. In condensed matter problems this box isnot imaginary, but real.Another natural way tomake the numberof degreesoffreedom finite istoput the system on a lattice. Again,in condensed matter physicsa ...
עמוד
... Fermi operators it is an antiperiodic function: (1.25) These twoproperties allow one to write down the following Fourier decomposition of the Green's function: (1.26) where (1.27) and for Bose systems and for Fermi systems. Thus.
... Fermi operators it is an antiperiodic function: (1.25) These twoproperties allow one to write down the following Fourier decomposition of the Green's function: (1.26) where (1.27) and for Bose systems and for Fermi systems. Thus.
עמוד
... the Green's function obviously satisfies the following relations: (2.24) which allows us to expand it in a Fourier series as a periodic function of τ on the interval (0, β): (2.25) Now I am going to demonstrate that, in accordance.
... the Green's function obviously satisfies the following relations: (2.24) which allows us to expand it in a Fourier series as a periodic function of τ on the interval (0, β): (2.25) Now I am going to demonstrate that, in accordance.
עמוד
... Fourier harmonics: (2.28) The Fourier harmonics provide an orthonormal basis in the infinitely dimensional space of realperiodic functions. Thedistance between two functions X 1 (τ) and X 2 (τ) is defined as (2.29) and the scalar ...
... Fourier harmonics: (2.28) The Fourier harmonics provide an orthonormal basis in the infinitely dimensional space of realperiodic functions. Thedistance between two functions X 1 (τ) and X 2 (τ) is defined as (2.29) and the scalar ...
עמוד
Alexei M. Tsvelik. (2.32) where X s are coefficients in the Fourier expansionofthe function X(τ). Substituting (2.28) into the expression for energy (2.26) we get: (2.33) and (2.34) Now using the obtained probability distribution let us ...
Alexei M. Tsvelik. (2.32) where X s are coefficients in the Fourier expansionofthe function X(τ). Substituting (2.28) into the expression for energy (2.26) we get: (2.33) and (2.34) Now using the obtained probability distribution let us ...
תוכן
Feynman diagrams | |
ONsymmetric vector model below the transition point | |
renormalization group | |
O3 nonlinear sigma model in the strong coupling limit | |
Path integral and Wicks theorem for fermions | |
the Fermi liquid | |
מהדורות אחרות - הצג הכל
Quantum Field Theory in Condensed Matter Physics <span dir=ltr>Alexei M. Tsvelik</span> תצוגה מקדימה מוגבלת - 2007 |
Quantum Field Theory in Condensed Matter Physics <span dir=ltr>Alexei M. Tsvelik</span> אין תצוגה מקדימה זמינה - 2003 |
מונחים וביטויים נפוצים
1)dimensional algebra anticommutation antiferromagnet bosonic bosonic exponents calculate canbe Chapter charge Chern–Simons chiral classical commutation relations conformal dimensions coordinates correlation functions correlation length corresponding coupling constant defined density derivation described dimensional discussion divergences effective action electrodynamics electrons equation equivalent excitations expression Fermi ferromagnetic field theory finite fluctuations formfactors Fourier gauge Gaussian Green’s function Hamiltonian Heisenberg chain interaction inthe invariant Ising model Kac–Moody algebra Lagrangian lattice Let us consider Lett Majorana fermions massless matrix momenta momentum nonlinear sigma model ofthe onedimensional particles partition function path integral perturbation Phys primary fields problem quantum electrodynamics quantum mechanics renormalization representation scalar scaling dimensions sineGordon model socalled space spacetime spectral gap spectrum spin staggered magnetization stress energy tensor Substituting symmetry temperature term thermodynamic topological tothe transformation Tsvelik twodimensional twopoint vector wave WZNW model Zamolodchikov zero