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Phase Transitions in Ferromagnets Critical
Kadanoff Block Spins and Derivation of Widom
Landau Mean Field Theory page 68
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2-point function 2-point vertex function anomalous dimension block spin construction bubble integral calculate coefficient connected correlation functions correlation function correlation length corresponding critical behaviour critical exponents critical phenomena critical point critical temperature defined derivative differential equation divergent dynamical dimension effective coupling constant eigenvalue equal exponential external field Feynman diagrams finite fixed point value free energy Gaussian given gives group transformation higher order homogeneous function independent introduce Ising model isothermal limit magnetic field magnetic system mass-less mean field theory momenta momentum space nearest neighbour non-zero obtain obviously order terms parameter partition function Phys physics previous lecture propagator relevant eigenvalue renorma1ization renormali renormalization constant renormalization group equation renormalization point renormalized mass satisfy scale invariant scaling behaviour second order self-energy solution spin system spin-field stable fixed point Symanzik equation thermodynamic inequalities tion unrenormalized vertex function variable Weinberg Widom scaling written zero magnetic field zero momentum