A Note on String Field Theory in the Temporal Gauge

Abstract

In this note, we review the recent developments in the string eld theory in the temporal gauge.

Loop equations for loops with Ising spins either all up or all down inc=12noncritical string theory

“…This agrees with the result in [8], where the right-hand side in (7.3) was set to zero (denoted ≈ 0) as being terms either with a support at l = 0 or proportional to backgrounds. Similarly we can derive loop equations for J + and J − from (5.8).…”

“…It is understood that K ± (l) are set to zero after differentiation in (7.5). These are generalization of the loop equations considered in [8].…”

“…Main difference between our Hamiltonian and theirs is that their Hamiltonian does not contain terms corresponding to the singular terms of one-and two-loop amplitudes. 8 For discussion of the dimension of geodesic distance D see [7], [8], [25], [26] merge and the loop will keep splitting and disappearing to form a disk. In [7] it was proposed to require that the resulting amplitude should not depend on how the geodesic distance D is decomposed into two.…”

“…However, for the reason which will be stated in the next few paragraphs we can not draw a definite conclusion about the dimension of geodesic distance D in this paper. 8 This construction of Hamiltonian can also be extended in an obvious way to the theory where − loops are included. In (6.8) W + and T + have to be replaced by X + and U + , respectively and terms with + and − interchanged should be added.…”

“…[8] Therefore investigation of loop equations is an important step toward construction of SFT. In this paper we will concentrate on c = 1/2 string, i.e.…”