Born amplitudes and seagull term in meson-soliton scattering

Liang, Yigao; Li, B.A.; Liu, K.F.; Su, Ru-Keng

doi:10.1016/0370-2693(90)90969-d

Cited by 7 publications

(6 citation statements)

References 20 publications

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“…From that, we derive an intermediate 'folding relation' (theorems 3 and 4), which will be used to derive the multiple commutator formula (theorems 5 and 6). Each of these relations have an on-shell version (theorems 2,3,5) and an off-shell version (theorems 1,4,6). These two versions have identical structures, and in fact the on-shell amplitudes can be obtained in a rather surprising way from the off-shell amplitudes via a 'domino relation' (theorem 7).…”

Section: Introductionmentioning

confidence: 99%

A multiple commutator formula for the sum of Feynman diagrams

Lam¹,

Liu²

1997

Nuclear Physics B

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In the presence of a large parameter, such as mass or energy, leading behavior of individual Feynman diagrams often get cancelled in the sum. This is known to happen in large-N c QCD in the presence of a baryon, and also in the case of high-energy electron-electron as well as quark-quark scatterings. We present an exact combinatorial formula, involving multiple commutators of the vertices, which can be used to compute such cancellations. It is a non-abelian generalization of the eikonal formula, and will be applied in subsequent publications to study the consistency of large-N c QCD involving baryons, as well as high-energy quark-quark scattering in ordinary QCD.

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Section: Introductionmentioning

confidence: 99%

A multiple commutator formula for the sum of Feynman diagrams

Lam¹,

Liu²

1997

Nuclear Physics B

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“…Here f 0 (k 2 ) is the meson-soliton Yukawa form factor [12]. We obtain, for both the Sine-Gordon and Φ 4 , δM 0 sol = +T /2.…”

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confidence: 81%

“…To see how (12) comes about, a small digression into the scattering problem is necessary. For the normal modes, the scattering equation associated to (3) reads…”

mentioning

confidence: 99%

“…Indeed, in weak coupling limit, the mesonsoliton t-matrix is known exactly. It contains a Born term with intermediate bound and continuum states plus a seagull term K, following from an equal-time commutator [12].…”

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confidence: 99%

“…respectively associated to the K (seagull) and t cont. (continuum+excited states) scattering amplitudes [12]. The results are displayed in Table 2.…”

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confidence: 99%

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Two-dimensional Solitons at Finite Temperature

Kacir¹,

Zahed²

2000

Solitons

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The partition function of two-dimensional solitons in a heat bath of mesons is worked out to one-loop. For temperatures large compared to the meson mass, the free energy is dominated by the meson-soliton bound states and the zero modes, a consequence of Levinson's theorem. Using the Bethe-Uhlenbeck formula we compare the soliton energyshift to the shift expected in the pole mass using a virial expansion. We construct the partition function associated to a fast moving soliton at finite temperature, and found that the soliton thermal inertial mass is no longer constrained by Poincare's symmetry.At finite temperature, the concept of quasiparticles is process dependent.

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Quantum scattering of charged solitons in the complex sine-Gordon model

1995

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The scattering of charged solitons in the complex sine-Gordon field theory is investigated. An exact factorizable S-matrix for the theory is proposed when the renormalized coupling constant takes the values $\lambda^{2}_{R}=4\pi/k$ for any integer $k>1$: the minimal S-matrix associated with the Lie algebra $a_{k-1}$. It is shown that the proposed S-matrix reproduces the leading semiclassical behaviour of all amplitudes in the theory and is the minimal S-matrix which is consistent with the semiclassical spectrum of the model. The results are completely consistent with the description of the complex sine-Gordon theory as the SU$(2)/{\rm U}(1)$ coset model at level $k$ perturbed by its first thermal operator.Comment: SWAT-4

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Born amplitudes and seagull term in meson-soliton scattering

Cited by 7 publications

References 20 publications

A multiple commutator formula for the sum of Feynman diagrams

A multiple commutator formula for the sum of Feynman diagrams

Two-dimensional Solitons at Finite Temperature

Quantum scattering of charged solitons in the complex sine-Gordon model

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