The Physics of Quantum Fields

Stone, Michael E.

doi:10.1007/978-1-4612-0507-4

Cited by 36 publications

(35 citation statements)

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“…21 As was shown in [1], the Pohlmeyer-reduced theory in the q = 0 case depends on q only through the mass scaleμ =qµ, i.e. its relativistic S-matrix is actually independent of q.…”

Section: Discussionmentioning

confidence: 84%

“…The AdS 3 × S 3 × S 3 × S 1 supported just by RR flux (q = 0) depends on α ∈ (0, 1) [11,28,12] 22 so one may compare this one-parameter generalization of AdS 3 × S 3 × T 4 with the one (with NSNS flux parameter q) we discussed in this paper. One obvious difference is that the two theories have different 21 Here k stands for the coefficient in front of the action of the Pohlmeyer-reduced theory. 22 The radii of the two spheres are given by R 2 1 = α −1 , R 2 2 = (1 − α) −1 .…”

Section: Discussionmentioning

confidence: 99%

“…(5.9), 21) the crossing symmetry of the q = 0 case, (5.10),(5.12), also generalizes to q = 0 in a natural way with the "crossed" Zhukovsky variables (5.11) given bȳ…”

Section: Q = 0 Casementioning

confidence: 97%

“…As in the standard Klein-Gordon operator case of q = 0 (see, e.g., [21,22]) these can be solved using the momentum space eigenfunctions, i.e. by replacing…”

Section: Lattice Origin Of the Dispersion Relationmentioning

confidence: 99%

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Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Hoare¹,

Tseytlin²

2013

Nuclear Physics B

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The type IIB supergravity AdS 3 × S 3 × T 4 background with mixed RR and NSNS 3-form fluxes is a near-horizon limit of a non-threshold bound state of D5-D1 and NS5-NS1 branes. The corresponding superstring world-sheet theory is expected to be integrable, opening the possibility of computing its exact spectrum for any values of the coefficient q of the NSNS flux and the string tension. In arXiv:1303.1447 we have found the treelevel S-matrix for the massive BMN excitations in this theory, which turned out to have a simple dependence on q. Here, by analyzing the constraints of symmetry and integrability, we propose an exact massive-sector dispersion relation and the exact S-matrix for this world-sheet theory. The S-matrix generalizes its recent construction in the q = 0 case in arXiv:1303.5995.

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“…21 As was shown in [1], the Pohlmeyer-reduced theory in the q = 0 case depends on q only through the mass scaleμ =qµ, i.e. its relativistic S-matrix is actually independent of q.…”

Section: Discussionmentioning

confidence: 84%

Section: Discussionmentioning

confidence: 99%

“…(5.9), 21) the crossing symmetry of the q = 0 case, (5.10),(5.12), also generalizes to q = 0 in a natural way with the "crossed" Zhukovsky variables (5.11) given bȳ…”

Section: Q = 0 Casementioning

confidence: 97%

“…As in the standard Klein-Gordon operator case of q = 0 (see, e.g., [21,22]) these can be solved using the momentum space eigenfunctions, i.e. by replacing…”

Section: Lattice Origin Of the Dispersion Relationmentioning

confidence: 99%

See 2 more Smart Citations

Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Hoare¹,

Tseytlin²

2013

Nuclear Physics B

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“…Finally in Sec. 4 we discuss how the canonical equivalence between the phase space variables of the two models can also be used to establish the equivalence of the disorder soliton like operators of each formulation.…”

Section: Introductionmentioning

confidence: 99%

Soliton operators in the quantum equivalence of the CP1 and O(3) - σmodels

Stephany

Vollmann

2018

Rev. Mex. Fís.

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We discuss some interesting aspects of the well known quantum equivalence between the O(3) − σ and CP 1 models in 3D, working in the canonical and in the path integral formulations. We show first that the canonical quantization in the hamiltonian formulation is free of ordering ambiguities for both models. We use the canonical map between the fields and momenta of the two models and compute the relevant functional determinant to verify the equivalence between the phase-space partition functions and the quantum equivalence in all the topological sectors. We also use the explicit form of the map to construct the soliton operator of the O(3) − σ model starting from the representation of the operator in the CP 1 model, and discuss their properties.

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Stability Enhancement by Zero‐Point Spin Fluctuations: A Quantum Perspective on Bloch Point Topological Singularities

Tapia,

Saji,

Roldán‐Molina

et al. 2024

Adv Funct Materials

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Bloch points represent singularities within magnetic materials. From a macroscopic viewpoint, their cores are points where the magnetization vector is undefined, resulting in unique topological characteristics that influence the magnetic behavior of their hosts. The picture is very different at the microscopic level, where quantum effects enter the scene. The spin variables' quantum dynamics effect on the BP's stability is revealed. Zero‐point fluctuations, intrinsic fluctuations within the quantum mechanical ground state originating from the uncertainty principle, play a fundamental role. It is found that quantum fluctuations bloom in the vicinity of the singularity, thereby reducing the effective magnetic moment in its neighborhood. This increases the overall stability of the BP. These methods also allow for a characterization of the magnonic eigenmodes surrounding and bound to the singularity. The latter leads to predict on quite general grounds several features of the magnonic spectra, its degeneration structure, and its splitting response under a magnetic field. The last result is coherent with the association of a magnetic moment to the orbital angular momentum of the magnons. This approach allows integration with multiscale algorithms to provide a realistic description of generic topological singularities.

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The Physics of Quantum Fields

Cited by 36 publications

References 0 publications

Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Massive S-matrix of AdS3×S3×T4 superstring theory with mixed 3

Soliton operators in the quantum equivalence of the CP1 and O(3) - σmodels

Stability Enhancement by Zero‐Point Spin Fluctuations: A Quantum Perspective on Bloch Point Topological Singularities

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