New PDF release: A Review on Tachyon Condensation in Open String Field

New PDF release: A Review on Tachyon Condensation in Open String Field

By Ohmori, K

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Extra resources for A Review on Tachyon Condensation in Open String Field Theories

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The vacuum expectation values of β1 and v could also be obtained by substituting the value of φ0 to the equations of motion derived from the level 4 truncated multiscalar potential and solving for β1 and v, though we do not try it. Beyond level (2,4), fields other than the tachyon are no longer quadratic, so we cannot analytically proceed. Instead, we take the following numerical approach. 97) includes cubic interactions among them. Firstly, derive the equation of motion with respect to β1 . It 55 becomes a quadratic equation for β1 , concretely given by √ 190 13 26 38 2 √ v β1 β1 + − φ+ 3 34 3α′ √ 110 13 6391 2 + 33φ − φv + 5 v 2 = 0.

The reason why these branches terminate at some points is clear if we recall the origin of the branch structure: It originates from the square root 10 11 The resulting (2,6) effective potential has changed from the (2,4) potential only just a little. Since this is really a rough sketch, see [25, 23] for precise shapes. 10: Structure of the effective tachyon potential. branches of the quadratic equations. The number of real solutions to a quadratic equation ax2 + bx + c = 0 depends on the sign of its discriminant b2 − 4ac.

The explicit form of level (4,8) potential is given in [21], and the minimum values 44 of the potential at various truncation levels up to (10,20) are found in [23]. 8. 8: The minimum values of the potential. f (T ) at the extremum T = T0 converges rapidly to the conjectured one f (T0 ) = −1 as we increase the truncation level. It may be somewhat surprising that the level (2,4) approximation, in which only three fields are included, gives about 95% of the expected value. At T = 0, open string degrees of freedom are living on the original Dp-brane; at the new vacuum T = T0 , we believe that the Dp-brane completely disappears together with open strings.

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A Review on Tachyon Condensation in Open String Field Theories by Ohmori, K

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