Field Theory of Dual-Resonance Model

Nakawaki, Yuji; Saito, Takesi

doi:10.1143/ptp.48.1324

Cited by 12 publications

(12 citation statements)

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“…This result is in agreement with previous calculations done in the equal-time representation, both in the continuum [6,7] and with periodicity conditions [8,18], and in a representation using a periodic surface "near" the light-cone [9]. Indeed, for the case of the equal-time, continuum calculations, it is easy to evaluate the fields on the characteristics (to first order in µ) and see that, not only are the results numerically equal, but the operators are the same and so the calculations are completely equivalent [19].…”

Section: The Massive Schwinger Modelsupporting

confidence: 93%

Mass operator in the light-cone representation

McCartor

1999

Phys. Rev. D

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I argue that for the case of fermions with nonzero bare mass there is a term in the matter density operator in the light-cone representation which has been omitted from previous calculations. The new term provides agreement with previous results in the equal-time representation for mass perturbation theory in the massive Schwinger model. For the DLCQ case the physics of the new term can be represented by an effective operator which acts in the DLCQ subspace, but the form of the term might be hard to guess and I do not know how to determine its coefficient from symmetry considerations.

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Section: The Massive Schwinger Modelsupporting

confidence: 93%

Mass operator in the light-cone representation

McCartor

1999

Phys. Rev. D

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“…Certain of these must be retained in the theory and their properties determined. This situation is quite familiar even in equal-time quantization, when one regulates with equal-time periodicity conditions and attempts to impose a spacelike axial gauge (see, e.g., [33,34]). …”

Section: Discussionmentioning

confidence: 99%

Vacuum structure of two-dimensional gauge theories on the light front

1997

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We discuss the problem of vacuum structure in light-front field theory in the context of (1+1)-dimensional gauge theories. We begin by reviewing the known light-front solution of the Schwinger model, highlighting the issues that are relevant for reproducing the θ-structure of the vacuum. The most important of these are the need to introduce degrees of freedom initialized on two different null planes, the proper incorporation of gauge field zero modes when periodicity conditions are used to regulate the infrared, and the importance of carefully regulating singular operator products in a gauge-invariant way. We then consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z 2 , which possesses nontrivial topology. In particular, there are two topological sectors and the physical vacuum state has a structure analogous to a θ vacuum. We formulate the model using periodicity conditions in x ± for infrared regulation, and consider a solution in which the gauge field zero mode is treated as a constrained operator. We obtain the expected Z 2 vacuum structure, and verify that the discrete vacuum angle which enters has no effect on the spectrum of the theory. We then calculate the chiral condensate, which is sensitive to the vacuum structure. The result is nonzero, but inversely proportional to the periodicity length, a situation which is familiar from the Schwinger model. The origin of this behavior is discussed.

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“…13) In the present paper we work in the continuum so that the infrared problems are fully exposed. We therefore begin by constructing a solution in the continuum by gauge-transforming the Landau gauge solution given previously by one of the authors, 14) into the light-cone gauge. It turns out that the x − -dependent massless constituent fields are contained in the transformed solution only as decoupled, zero-norm operators playing no role; so they are removed.…”

Section: §1 Introductionmentioning

confidence: 99%

“…14) In §3 we transform to the light-cone gauge, obtaining a continuum solution similar in many ways to the periodic solution given by Bassetto, Nardelli and Vianello (periodic on t = 0). In §4, to avoid the neces-at Adams State University on March 24, 2015 http://ptp.oxfordjournals.org/ Downloaded from sity of quantizing constrained systems, we follow Ref.…”

Section: §1 Introductionmentioning

confidence: 99%

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Light-Cone Quantization of the Schwinger Model

Nakawaki

McCartor

2000

Progress of Theoretical Physics

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We consider constructing a canonical quantum theory of the light-cone gauge ($A_-$=0) Schwinger model in the light-cone representation. Quantization conditions are obtained by requiring that translational generators $P_+$ and $P_-$ give rise to Heisenberg equations which, in a physical subspace, are consistant with the field equations. A consistent operator solution with residual gauge degrees of freedom is obtained by solving initial value problems on the light-cones. The construction allows a parton picture although we have a physical vacuum with nontrivial degeneracies in the theory.Comment: 19 pages, two ps figures, uses ptptex.sty and psfi

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Field Theory of Dual-Resonance Model

Cited by 12 publications

References 0 publications

Mass operator in the light-cone representation

Mass operator in the light-cone representation

Vacuum structure of two-dimensional gauge theories on the light front

Light-Cone Quantization of the Schwinger Model

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