6533b823fe1ef96bd127f538
RESEARCH PRODUCT
Microscopic approach to a class of 1D quantum critical models
Karol K. KozlowskiJ. M. Mailletsubject
Statistics and ProbabilityPhysicsClass (set theory)Finite volume methodStatistical Mechanics (cond-mat.stat-mech)Field (physics)Nonlinear Sciences - Exactly Solvable and Integrable SystemsConformal field theory[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th][PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]FOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Matrix (mathematics)Theoretical physicsModeling and SimulationEffective field theory[NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI]Exactly Solvable and Integrable Systems (nlin.SI)QuantumMathematical PhysicsCondensed Matter - Statistical MechanicsBosondescription
Starting from the finite volume form factors of local operators, we show how and under which hypothesis the $c=1$ free boson conformal field theory in two-dimensions emerges as an effective theory governing the large-distance regime of multi-point correlation functions in a large class of one dimensional massless quantum Hamiltonians. In our approach, in the large-distance critical regime, the local operators of the initial model are represented by well suited vertex operators associated to the free boson model. This provides an effective field theoretic description of the large distance behaviour of correlation functions in 1D quantum critical models. We develop this description starting from the first principles and directly at the microscopic level, namely in terms of the properties of the finite volume matrix elements of local operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-04 |