<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mi>ρ</mml:mi><mml:mi>π</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi><mml:mo>→</mml:mo><mml:mn>2</mml:mn><mml:mi>π</mml:mi></mml:math>Decays

Das, T.; Mathur, V.S.; Ôkubo, Susumu

doi:10.1103/physrevlett.19.1067

Cited by 73 publications

(26 citation statements)

References 7 publications

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“…The details of the calculation are given in [2]. To illustrate our main point it is sufficient to give the result for the quantity…”

Section: The Classical Limit Of the Quantum Theorymentioning

confidence: 99%

“…, even though the space-time interpretation of the theory is rather involved and not yet fully understood. The first set of results, obtained in collaboration with S. Mathur [2] indicate that the classical limit of the theory is rather nontrivial and requires more degrees of freedom than the quantum theory itself. The second set of results [3] indicate that a suitably defined geometric entropy (or entropy of entanglement), which provides a measure of the degrees of freedom, is ultraviolet finite due to essentially nonperturbative effects This is relevant to the question of black hole entropy in string theory.…”

Section: Introductionmentioning

confidence: 99%

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Degrees of freedom in two dimensional string theory

Das¹

1996

Nuclear Physics B - Proceedings Supplements

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We discuss two issues regarding the question of degrees of freedom in two dimensional string theory. The first issue relates to the classical limit of quantum string theory. In the classical theory one requires an infinite number of fields in addition to the collective field to describe "folds" on the fermi surface. We argue that in the quantum theory these are not additional degrees of freedom. Rather they represent quantum dispersions of the collective field which are not suppressed whenh → 0 whenever a fold is present, thus leading to a nontrivial classical limit. The second issue relates to the ultraviolet properties of the geometric entropy. We argue that the geometric entropy is finite in the ultraviolet due to nonperturbative effects. This indicates that the true degrees of freedom of the two dimensional string at high energies is much smaller than what one naively expects.

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“…The details of the calculation are given in [2]. To illustrate our main point it is sufficient to give the result for the quantity…”

Section: The Classical Limit Of the Quantum Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Degrees of freedom in two dimensional string theory

Das¹

1996

Nuclear Physics B - Proceedings Supplements

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“…and D * + → (Dπ) + , and have calculated the coupling constant g V P π 0 by means of a soft pion theorem due to Das, Mathur and Okubo [38] 4|g…”

Section: The Transitionmentioning

confidence: 99%

Consistent treatment of spin-1 mesons in the light-front quark model

Jaus

2003

Phys. Rev. D

121

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We analyze the matrix element of the electroweak current between qq vector meson states in the framework of a covariant extension of the light-front formalism. The light-front matrix element of a one-body current is naturally associated with zero modes, which affect some of the form factors that are necessary to represent the Lorentz structure of the light-front integral. The angular condition contains information on zero modes, i.e., only if the effect of zero modes is accounted for correctly, is it satisfied. With plausible assumptions we derive from the angular condition several consistency conditions which can be used quite generally to determine the zero mode contribution of form factors. The correctness of this method is tested by the phenomenological success of the derived form factors. We compare the predictions of our formalism with those of the standard light-front approach and with available data. As examples we discuss the magnetic moment of the ρ, the coupling constant g D * Dπ , and the coupling constants of the pseudoscalar density, g π and g K , which provide a phenomenological link between constituent and current quark masses.

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“…Therefore, we considcr only the matrix elements Here one can obtain additional information for the form factors f(~,2) (k 2) defined in the last two of Eq. (9). The derivation and evaluation of sum rules is exactly the same as before and comparing the results with those of the preceding Section we have b(1) ~--_ b(2) = F~ 2 (m~ --m~) (m~< --m~) : F~ (m~< --m~) (m~< --m~ z) m~-m~ m~ --m~ (21) Here b (~) is the ~K.-r coupling constant defined in Eq.…”

Section: The Width Of Z Mesonmentioning

confidence: 99%