Multicriticality in Yang-Lee edge singularity

Lencsés, Máté; Miscioscia, Alessio; Mussardo, Giuseppe; Takács, Gábor

doi:10.1007/jhep02(2023)046

Cited by 12 publications

(9 citation statements)

References 52 publications

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“…g 2 ∼ (T − T c ), g 3 may be regarded as a sub-leading magnetic field h ′ and, finally, g 4 may be interpreted as a chemical potential for the vacancies. Switching on and tuning the various coupling constants, the model changes its spectrum and its dynamics, as studied earlier in a series of papers [13,14,39,[51][52][53][54][55][56][57][58][59][60][61][62][63] and recently by the authors in [50,[64][65][66].…”

Section: Universality Class and The Kramers-wannier Dualitymentioning

confidence: 98%

Quantum integrability vs experiments: correlation functions and dynamical structure factors

Lencsés,

Mussardo,

Takács

2023

J. Phys. A: Math. Theor.

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Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based ontheir elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals theexact spectrum of particles and their on-shell dynamics, the expression of the matrix elements ofthe various operators allows the reconstruction of off-shell quantities such as two-point correlationfunctions with a high level of precision. In this review, we summarise results relevant to the contactpoint between theory and experiment providing a number of quantities that can be computedtheoretically with great accuracy. We concentrate on universal amplitude ratios which can bedetermined from the measurement of generalised susceptibilities, and dynamical structure factors,which can be accessed experimentally e.g. via inelastic neutron scattering or nuclear magneticresonance. Besides an overview of the subject and a summary of recent advances, we also presentnew results regarding generalised susceptibilities in the tricritical Ising universality class.

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Section: Universality Class and The Kramers-wannier Dualitymentioning

confidence: 98%

Quantum integrability vs experiments: correlation functions and dynamical structure factors

Lencsés,

Mussardo,

Takács

2023

J. Phys. A: Math. Theor.

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“…On the right boundary, the first gap remains nonvanishing even for large radius, disfavoring a CFT interpretation. Evidence for critical and non-critical PT -breaking-transitions have been recently studied using TCSA [29,30].…”

Section: Phase Diagram and Eft Interpretationmentioning

confidence: 99%

Hamiltonian truncation crafted for UV-divergent QFTs

Delouche,

Elias Miro,

Ingoldby

2024

SciPost Phys.

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We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of d=1+1 CFTs. We investigated three examples of increasing complexity: The deformed Ising, Tricritical-Ising, and non-unitary minimal model M(3,7). The first two examples provide a crosscheck of our methodologies against well established characteristics of these theories. The M(3,7) CFT deformed by its \mathbb{Z}_2ℤ2-even operators shows an intricate phase diagram that we clarify. At a boundary of this phase diagram we show that this theory flows, in the IR, to the M(3,5) CFT.

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“…Clearly, the Yang-Lee edge singularity plays the central role in our study. We refer the reader to the works [3][4][5][6] for recent developments in this area. ϕ 3 coupling.…”

Section: Jhep08(2023)161mentioning

confidence: 99%

“…Thus, the term ∼ α 5 mixes with the leading contribution from (T T ) 3 (α 5 has the same mass dimension as α 5 ). 4 For the purpose of this work, the expansion…”

Section: Jhep08(2023)161mentioning

confidence: 99%

Ising field theory in a magnetic field: φ3 coupling at T > Tc

Xu,

Zamolodchikov

2023

J. High Energ. Phys.

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We study the “three particle coupling” $$ {\Gamma}_{11}^1\left(\xi \right) $$ Γ 11 1 ξ , in 2d Ising Field Theory in a magnetic field, as the function of the scaling parameter ξ := h/(−m)15/8, where m ∼ Tc − T and h ∼ H are scaled deviation from the critical temperature and scaled external field, respectively. The “φ3 coupling” $$ {\Gamma}_{11}^1 $$ Γ 11 1 is defined in terms of the residue of the 2 → 2 elastic scattering amplitude at its pole associated with the lightest particle itself. We limit attention to the High-Temperature domain, so that m is negative. We suggest “standard analyticity”: $$ {\left({\Gamma}_{11}^1\right)}^2 $$ Γ 11 1 2 , as the function of u := ξ2, is analytic in the whole complex u-plane except for the branch cut from – ∞ to – u0 ≈ – 0.03585, the latter branching point – u0 being associated with the Yang-Lee edge singularity. Under this assumption, the values of $$ {\Gamma}_{11}^1 $$ Γ 11 1 at any complex u are expressed through the discontinuity across the branch cut. We suggest approximation for this discontinuity which accounts for singular expansion of $$ {\Gamma}_{11}^1 $$ Γ 11 1 near the Yang-Lee branching point, as well as its known asymptotic at u → +∞. The resulting dispersion relation agrees well with known exact data, and with numerics obtained via Truncated Free Fermion Space Approach. This work is part of extended project of studying the S-matrix of the Ising Field Theory in a magnetic field.

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Multicriticality in Yang-Lee edge singularity

Cited by 12 publications

References 52 publications

Quantum integrability vs experiments: correlation functions and dynamical structure factors

Quantum integrability vs experiments: correlation functions and dynamical structure factors

Hamiltonian truncation crafted for UV-divergent QFTs

Ising field theory in a magnetic field: φ3 coupling at T > Tc

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