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

Seiberg, Nathan; Susskind, Leonard; Toumbas, Nicolaos

doi:10.1088/1126-6708/2000/06/021

Cited by 269 publications

(508 citation statements)

References 16 publications

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“…The particle creation by background metrics are important in black hole physics [8,9] and in the study of early Universe dynamics [10]. Recently, it has also been recognized that the presence of background electric field must be taken into account in string theory constructions, see, e.g., [11] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Density matrix of a quantum field in a particle-creating background

2008

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We consider the time evolution of a quantized field in backgrounds that violate the vacuum stability (particle-creating backgrounds). Our aim is to study the exact form of the final quantum state (the density operator at a final instant of time) that has emerged from a given arbitrary initial state (from a given arbitrary density operator at the initial time instant) in the course of the evolution. We find a generating functional that allows us to have the density operators for any initial state. Averaging over states of a subsystem of antiparticles (particles), we obtain explicit forms for reduced density operators for subsystems of particles (antiparticles). Studying one-particle correlation functions, we establish a one-to-one correspondence between these functions and the reduced density operators. It is shown that in the general case a presence of bosons (e.g. gluons) in an initial state increases the creation rate of the same kind of bosons. We discuss the question (and its relation to the initial stage of quark-gluon plasma formation) whether a thermal form of one-particle distribution can appear even if the final state of the complete system is not a thermal equilibrium. In this respect, we discuss some cases when a pair creation by an electric-like field can mimic a one-particle thermal distribution. We apply our technics to some QFT problems in slowly varying electric-like backgrounds: electric, SU(3) chromoelectric, and metric. In particular, we study the time and temperature behavior of mean numbers of created particles provided switching on and off effects of the external field are negligible. It is shown that at high temperatures and in slowly varying electric fields the rate of particle creation is essentially time-dependent.

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Section: Introductionmentioning

confidence: 99%

Density matrix of a quantum field in a particle-creating background

2008

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“…Indeed, this question has been addressed in several recent works [2,3,4,5,6] (See also related works [7,8,9,10,11,12]). …”

Section: Introductionmentioning

confidence: 99%

“…Since there is no NS-NS two-form potential present, noncommutative deformation via Seiberg-Witten map is not possible and the resulting theory ought to be a commutative theory. However, this is apparently not the answer one obtains [3,4,6]. Starting with a noncommutative U(1) gauge theory with coupling constant g and noncommutativity tensor θ and taking the standard duality transformation, one finds that the dual theory still remains a noncommutative U(1) gauge theory, but with coupling and noncommutativity parameters g D = 1 g and…”

Section: Introductionmentioning

confidence: 99%

S-duality, noncritical open string and noncommutative gauge theory

Rey¹,

Unge²

2001

Physics Letters B

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We examine several aspects of S-duality of four-dimensional noncommutative gauge theory. By making duality transformation explicit, we find that S-dual of noncommutative gauge theory is defined in terms of dual noncommutative deformation. In 'magnetic' noncommutative U(1) gauge theory, we show that, in addition to gauge bosons, open D-strings constitute important low-energy excitations: noncritical open D-strings. Upon S-duality, they are mapped to noncritical open F-strings. We propose that, in dual 'electric' noncommutative U(1) gauge theory, the latters are identified with gauge-invariant, open Wilson lines. We argue that the open Wilson lines are chiral due to underlying parity noninvariance and obey spacetime uncertainty relation. We finally argue that, at high energy-momentum limit, the 'electric' noncommutative gauge theory describes correctly dynamics of delocalized multiple F-strings.

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“…Recently noncommutative geometry received much attention both in string theory and in gauge field theory [1,2,3,4,5], and various aspects of the intimate connection between the two approaches have been enlightened.…”

mentioning

confidence: 99%

Noncommutative =1,2 super U(N) Yang–Mills: UV/IR mixing and effective action results at one loop

Zanon

2001

Physics Letters B

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Noncommutative N = 1 and N = 2 supersymmetric Yang-Mills theories with gauge group U (N ) are studied here using the background field method and superspace background covariant D-algebra in perturbation theory. At one loop divergences arise only in the two-point functions. They are logarithmic UV/IR divergences in the planar/nonplanar sectors that play a role dual to each other. We consider contributions to the effective action with vector external lines. We find that the three-point function vanishes, while the four-point function receives contributions both from vector and from chiral matter loops.

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

Cited by 269 publications

References 16 publications

Density matrix of a quantum field in a particle-creating background

Density matrix of a quantum field in a particle-creating background

S-duality, noncritical open string and noncommutative gauge theory

Noncommutative =1,2 super U(N) Yang–Mills: UV/IR mixing and effective action results at one loop

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