Non-commutative open string and D-brane

Searching for space/time noncommutativity we reconsider open strings in a constant background electric field. The main difference between this situation and its magnetic counterpart is that here there is a critical electric field beyond which the theory does not make sense. We show that this critical field prevents us from finding a limit in which the theory becomes a field theory on a noncommutative spacetime. However, an appropriate limit toward the critical field leads to a novel noncritical string theory on a noncommutative spacetime. 5/00

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“…In this subsection we follow [9,10] and analyze the spectrum of the first quantized open string in the background of constant electric field.…”

Section: Canonical Quantization On the Stripmentioning

confidence: 99%

Strings in background electric field, space/time noncommutativity and a new noncritical string theory

Seiberg

Susskind

Toumbas

2000

J. High Energy Phys.

269

494

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“…These coordinates are expanded in an integral power series of z and z [6][7] [13]. The two-point functions of these string coordinates are given in [1] 4) where R stands for the radial ordering, G µν and θ µν are the inverse of the open string metric G µν and the noncommutativity parameter defined in [8] respectively, and (x) denotes the sign function.…”

Section: Two Point Functions and Renormal Orderingmentioning

confidence: 99%

“…Among others, it has been found out that when D-branes accompany this system the worldvolume of the D-branes becomes noncommutative [4][5] [6] [7] [8].…”

Section: Introductionmentioning

confidence: 99%

p−p′ system with B field and projection operator noncommutative solitons

Murakami

2001

J. High Energy Phys.

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We study the system of the Dp -brane with Dp-brane (p < p ) inside, in the case where B ij field is a nonvanishing constant. In order to understand how the Dp-brane is viewed from the Dp -brane worldvolume theory, we investigate the process in which the Dp-brane is probed with p -p open string. We calculate the scattering amplitudes among p-p open strings and p -p open strings and show that not only the Weyl transform of the projection operator onto the ground state but also those onto higher excited states emerge as multiplicative factors of the amplitudes. *

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“…Non-commutative gauge theories are realized on branes in the zero slope limit in the presence of a large NS-NS B-field [1,2,3,4,5,6,7,8]. Recently these theories have attracted a lot of attention.…”

Section: Introductionmentioning

confidence: 99%

Loop equation and Wilson line correlators in non-commutative gauge theories

Dhar¹,

Kitazawa²

2001

Nuclear Physics B

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We investigate Schwinger-Dyson equations for correlators of Wilson line operators in non-commutative gauge theories. We point out that, unlike what happens for closed Wilson loops, the joining term survives in the planar equations. This fact may be used to relate the correlator of an arbitrary number of Wilson lines eventually to a set of closed Wilson loops, obtained by joining the individual Wilson lines together by a series of welldefined cutting and joining manipulations. For closed loops, we find that the non-planar contributions do not have a smooth limit in the limit of vanishing non-commutativity and hence the equations do not reduce to their commutative counterparts. We use the Schwinger-Dyson equations to derive loop equations for the correlators of Wilson observables. In the planar limit, this gives us a new loop equation which relates the correlators of Wilson lines to the expectation values of closed Wilson loops. We discuss perturbative verification of the loop equation for the 2-point function in some detail. We also suggest a possible connection between Wilson line based on an arbitrary contour and the string field of closed string.

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Non-commutative open string and D-brane

Cited by 543 publications

References 23 publications

Strings in background electric field, space/time noncommutativity and a new noncritical string theory

Strings in background electric field, space/time noncommutativity and a new noncritical string theory

p−p′ system with B field and projection operator noncommutative solitons

Loop equation and Wilson line correlators in non-commutative gauge theories

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