Zobrazeno 1 - 10
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pro vyhledávání: '"Thorn, Charles B."'
Autor:
Thorn, Charles B.
We specialize the $N$ string scattering amplitudes for the generalized protostring to $N=4$. This allows for a much more detailed and explicit study of their basic physical and mathematical properties, such as singularity structure and high energy be
Externí odkaz:
http://arxiv.org/abs/2206.05333
Autor:
Thorn, Charles B.
We study a string bit Hamiltonian whose continuum limit describes anti-periodic (AP) anti-commuting worldsheet fields. We calculate the amplitude for transitions between an AP spin chain and a periodic (P) one in the continuum limit, M-> infinity whe
Externí odkaz:
http://arxiv.org/abs/2112.01588
Autor:
Thorn, Charles B.
Although the energy spectrum of the Heisenberg spin chain on a circle defined by $H=\frac{1}{4}\sum_{k=1}^M(\sigma_k^x\sigma_{k+1}^x+\sigma_k^y\sigma_{k+1}^y +\Delta\sigma_k^z\sigma_{k+1}^z)$ is well known for any fixed $M$, the boundary conditions v
Externí odkaz:
http://arxiv.org/abs/2009.13419
Autor:
Thorn, Charles B.
Publikováno v:
Phys. Rev. D 101, 046017 (2020)
We study in a general way the construction of string bit Hamiltonians which are supersymmetric, We construct several quadratic and quartic polynomials in string bit creation and annihilation operators ${\bar\phi}^A_{a_1\cdots a_n}$, ${\phi}^A_{a_1\cd
Externí odkaz:
http://arxiv.org/abs/1912.00069
Publikováno v:
Phys. Rev. D 96, 086021 (2017)
The state space of a generic string bit model is spanned by $N\times N$ matrix creation operators acting on a vacuum state. Such creation operators transform in the adjoint representation of the color group $U(N)$ (or $SU(N)$ if the matrices are trac
Externí odkaz:
http://arxiv.org/abs/1708.03342
Autor:
Thorn, Charles B.
I review Stanley Mandelstam's many contributions to particle physics, quantum field theory and string theory covering the years 1955 through 1980. His more recent work will be reviewed by Nathan Berkovits. This is my contribution to the Memorial Volu
Externí odkaz:
http://arxiv.org/abs/1612.01590
Autor:
Thorn, Charles B.
Publikováno v:
Phys. Rev. D 94, 106009 (2016)
We calculate some tree level scattering amplitudes for a generalization of the protostring, which is a novel string model implied by the simplest string bit models. These bit models produce a lightcone worldsheet which supports $s$ integer moded Gras
Externí odkaz:
http://arxiv.org/abs/1607.04237
Autor:
Thorn, Charles B.
Publikováno v:
Phys. Rev. D 93, 066003 (2016)
We develop the 1/N expansion for stable string bit models, focusing on a model with bit creation operators carrying only transverse spinor indices a=1,...,s. At leading order (1/N=0), this model produces a (discretized) lightcone string with a "trans
Externí odkaz:
http://arxiv.org/abs/1512.08439
Autor:
Thorn, Charles B.
Publikováno v:
Phys. Rev. D 92, 066007 (2015)
We study the behavior of a simple string bit model at finite temperature. We use thermal perturbation theory to analyze the high temperature regime. But at low temperatures we rely on the large $N$ limit of the dynamics, for which the exact energy sp
Externí odkaz:
http://arxiv.org/abs/1507.03036
Autor:
Thorn, Charles B.
We develop superstring bit models, in which the lightcone transverse coordinates in D spacetime dimensions are replaced with d=D-2 double-valued "flavor" indices $x^k-> f_k=1,2$; $k=2,...,d+1$. In such models the string bits have no space to move. Le
Externí odkaz:
http://arxiv.org/abs/1407.8144