Baroque Trumpets

O’Loughlin, Niall; Torelli,; Stradella,; Charpentier,

doi:10.2307/1193952

Cited by 1 publication

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“…In this spirit, let us indicate in broad terms how the calculation of in-out reflection coefficients for the fermions may be approached in such a theory. One way to derive these coefficients is, following [17], to write the fermions in a holomorphic basis in terms of powers of z = x + ip (for simplicity we now only consider the right side up harmonic oscillator), in which case the in-out transformation is obtained by reexpressing the in-field in terms of the canonically conjugate coordinatesz = x − ip. The in-out bogoliubov transformation thus becomes a fourier transform.…”

Section: Second-quantized Representationmentioning

confidence: 99%

FINITE Q-OSCILLATOR REPRESENTATION OF 2-D STRING THEORY

Jevicki

Tonder

1996

Mod. Phys. Lett. A

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We present a simple physical representation for states of two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/g st we use a picture consisting of q-oscillators at the first quantized level. In this framework we also find a representation for the (singular) negatively dressed states representing nontrivial string backgrounds.Of some importance is the difference between the states of positive Liouville dressing Ψ (+) versus those of negative dressing Ψ (−) . The former are physical states. In particular, for tachyons they provide left (p X > 0) and right (p X < 0) moving scattering states. The negatively dressed states to which we shall refer as "singular" violate the so-called Seiberg bound. They do not have a simple scattering interpretation. They do play an important role, however, in providing nontrivial backgrounds, among which the first is the two dimensional black hole [7].The difference between the two sets of states is clearly seen in their operator product algebras [8]:

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Section: Second-quantized Representationmentioning

confidence: 99%