Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality

Abstract

The Fock-space Hamiltonian truncation method is developed further, paying particular attention to the treatment of the scalar field zero mode. This is applied to the two-dimensional Phi^4 theory in the phase where the Z_2-symmetry is spontaneously broken, complementing our earlier study of the Z_2-invariant phase and of the critical point. We also check numerically the weak/strong duality of this theory discussed long ago by Chang.

28 pages, 28 figures; V2: refs added, published version; V3: added note in Appendix on perturbation theory checks

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Cited by in corpus (58)

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• NLO Renormalization in the Hamiltonian Truncation
• High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation
• $\lambda {\varphi }^4$ Theory I: The Symmetric Phase Beyond NNNNNNNNLO
• A Conformal Truncation Framework for Infinite-Volume Dynamics
• The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT
• Quench dynamics of the Ising field theory in a magnetic field
• Quantum simulation of quantum field theories as quantum chemistry
• RG Flow from ${\varphi }^4$ Theory to the 2D Ising Model
• $\lambda {\varphi }^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO
• Signatures of Chaos in Non-integrable Models of Quantum Field Theory
• Exploring Hamiltonian Truncation in $\mathbf{d}=2+1$
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Quantum sensors for the generating functional of interacting quantum field theories
• Kibble-Zurek mechanism in the Ising Field Theory
• Approaching the Self-Dual Point of the Sinh-Gordon model
• Introduction to Lightcone Conformal Truncation: QFT Dynamics from CFT Data
• Hamiltonian truncation in Anti-de Sitter spacetime
• Hamiltonian Truncation Effective Theory
• Nonperturbative Matching Between Equal-Time and Lightcone Quantization
• Hyperbolic Lattice for Scalar Field Theory in AdS${}_3$
• False vacuum decay in the 1+1 dimensional ${\phi }^4$ theory
• Chirally Factorised Truncated Conformal Space Approach
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
• Effective Hamiltonians and Counterterms for Hamiltonian Truncation
• Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
• Leading exponential finite size corrections for non-diagonal form factors
• The renormalized Hamiltonian truncation method in the large $E_T$ expansion
• The Two-Loop ${\varphi }^4$ Kink Mass
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• Form Factors and Spectral Densities from Lightcone Conformal Truncation
• Towards a nonperturbative construction of the $S$-matrix
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Enhancing Quantum Field Theory Simulations on NISQ Devices with Hamiltonian Truncation
• Hamiltonian Truncation Crafted for UV-divergent QFTs
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• The semiclassical energy density of kinks and solitons
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• RG flows on $S^d$ and Hamiltonian truncation
• Light-front ${\varphi }_2^4$ theory with sector-dependent mass
• Tadpoles and vacuum bubbles in light-front quantization
• Counterterms in Truncated Conformal Perturbation Theory
• Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence
• Non-equilibrium time evolution in the sine-Gordon model revisited
• On The S-Matrix of Ising Field Theory in Two Dimensions
• The ${\varphi }^4$ Kink Mass at Two Loops
• Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory
• On computing non-equilibrium dynamics following a quench
• Weak vs. strong breaking of integrability in interacting scalar quantum field theories
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis
• Critical Coupling for Two-dimensional ${\varphi }^4$ Theory in Discretized Light-Cone Quantization
• Nonperturbative dynamics of (2+1)d ${\varphi }^4$-theory from Hamiltonian truncation
• A First Step Towards Effectively Nonperturbative Scattering Amplitudes in the Perturbative Regime
• Higher-order structure of Hamiltonian truncation effective theory