Relating Field Theories via Stochastic Quantization
arXiv:0903.0732 · doi:10.1016/j.nuclphysb.2009.07.018
Abstract
This note aims to subsume several apparently unrelated models under a common framework. Several examples of well-known quantum field theories are listed which are connected via stochastic quantization. We highlight the fact that the quantization method used to obtain the quantum crystal is a discrete analog of stochastic quantization. This model is of interest for string theory, since the (classical) melting crystal corner is related to the topological A-model. We outline several ideas for interpreting the quantum crystal on the string theory side of the correspondence, exploring interpretations in the Wheeler-De Witt framework and in terms of a non-Lorentz invariant limit of topological M-theory.
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Cited by in corpus (40)
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- Dynamics at and near conformal quantum critical points
- Gapless quantum spin chains: multiple dynamics and conformal wavefunctions
- Horava-Lifshitz f(R) Gravity
- Relating Gauge Theories via Gauge/Bethe Correspondence
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- TASI lectures on complex structures
- Non-compact quantum spin chains as integrable stochastic particle processes
- Kahler-Einstein metrics emerging from free fermions and statistical mechanics
- BPS invariants of N=4 gauge theory on a surface
- On Supersymmetric Lifshitz Field Theories
- Stochastic quantization and holographic Wilsonian renormalization group
- Lifshitz fermionic theories with z=2 anisotropic scaling
- Stochastic Quantization and AdS/CFT
- Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
- Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
- Symmetry breaking and restoration in Lifshitz type theories
- Self-Organized Criticality as Witten-type Topological Field Theory with Spontaneously Broken Becchi-Rouet-Stora-Tyutin Symmetry
- Stochastic quantization of conformally coupled scalar in AdS
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- Asymptotically free lattice gauge theory in five dimensions
- Ubiquitous order known as chaos
- Low-Energy Lorentz Invariance in Lifshitz Nonlinear Sigma Models
- Stochastic quantization and holographic Wilsonian renormalization group of scalar theories with arbitrary mass
- Effective potential for Lifshitz type z=3 gauge theories
- On domain wall boundary conditions for the XXZ spin Hamiltonian
- Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
- Quantum crystals, Kagome lattice and plane partitions fermion-boson duality
- Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
- BPS invariants of semi-stable sheaves on rational surfaces
- Stochastic Quantization of the Spherical Model and Supersymmetry
- Analytic Continuation of Stochastic Mechanics
- Stratonovich-Ito integration scheme in ultrafast spin caloritronics
- Stochastic analysis & discrete quantum systems
- Rigorous lower bound on dynamical exponents in gapless frustration-free systems
- New scenario for transition to slow 3D turbulence
- BPS solitons in Lifshitz field theories
- Stochastic Quantization of Relativistic Theories
- Topological Field Theory and Stochastic Dynamics
- Causal random geometry from stochastic quantization