$\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
$\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
复制标题
$mathrm{T}overline{mathrm{T}}$变形一维玻色气体
DOI：
10.21468/scipostphys.12.6.191
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发表时间：
2020
期刊：
影响因子：
5.5
通讯作者：
Yunfeng Jiang
中科院分区：
文献类型：
--
作者：
Yunfeng Jiang
\mathrm{T}\bar{\mathrm{T}}TT‾
deformation was originally proposed as an irrelevant solvable
deformation for 2d relativistic quantum field theories (QFTs). The same
family of deformations can also be defined for integrable quantum spin
chains which was first studied in the context of integrability in
AdS/CFT. In this paper, we construct such deformations for yet another
type of models, which describe a collection of particles moving in 1d
and interacting in an integrable manner. The prototype of such models is
the Lieb-Liniger model. This shows that such deformations can be defined
for a very wide range of systems. We study the finite volume spectrum
and thermodynamics of the \mathrm{T}\overline{\mathrm{T}}TT¯-deformed
Lieb-Liniger model. We find that for one sign of the deformation
parameter (\lambda<0)(λ<0),
the deformed spectrum becomes complex when the volume of the system is
smaller than certain critical value, signifying the break down of UV
physics. For the other sign (\lambda>0)(λ>0),
there exists an upper bound for the temperature, similar to the Hagedorn
behavior of the \mathrm{T}\overline{\mathrm{T}}TT¯
deformed QFTs. Both behaviors can be attributed to the fact that
\mathrm{T}\overline{\mathrm{T}}TT¯
deformation changes the size the particles. We show that for
\lambda>0λ>0,
the deformation increases the spaces between particles which effectively
increases the volume of the system. For \lambda<0λ<0,
\mathrm{T}\overline{\mathrm{T}}TT¯
deformation fattens point particles to finite size hard rods. This is
similar to the observation that the action of
\mathrm{T}\overline{\mathrm{T}}TT¯-deformed
free boson is the Nambu-Goto action, which describes bosonic strings -
also an extended object with finite size.
\mathrm{T}\bar{\mathrm{T}}TT‾
deformation was originally proposed as an irrelevant solvable
deformation for 2d relativistic quantum field theories (QFTs). The same
family of deformations can also be defined for integrable quantum spin
chains which was first studied in the context of integrability in
AdS/CFT. In this paper, we construct such deformations for yet another
type of models, which describe a collection of particles moving in 1d
and interacting in an integrable manner. The prototype of such models is
the Lieb-Liniger model. This shows that such deformations can be defined
for a very wide range of systems. We study the finite volume spectrum
and thermodynamics of the \mathrm{T}\overline{\mathrm{T}}TT¯-deformed
Lieb-Liniger model. We find that for one sign of the deformation
parameter (\lambda<0)(λ<0),
the deformed spectrum becomes complex when the volume of the system is
smaller than certain critical value, signifying the break down of UV
physics. For the other sign (\lambda>0)(λ>0),
there exists an upper bound for the temperature, similar to the Hagedorn
behavior of the \mathrm{T}\overline{\mathrm{T}}TT¯
deformed QFTs. Both behaviors can be attributed to the fact that
\mathrm{T}\overline{\mathrm{T}}TT¯
deformation changes the size the particles. We show that for
\lambda>0λ>0,
the deformation increases the spaces between particles which effectively
increases the volume of the system. For \lambda<0λ<0,
\mathrm{T}\overline{\mathrm{T}}TT¯
deformation fattens point particles to finite size hard rods. This is
similar to the observation that the action of
\mathrm{T}\overline{\mathrm{T}}TT¯-deformed
free boson is the Nambu-Goto action, which describes bosonic strings —
also an extended object with finite size.
影响因子：
8.6
作者：
Bonnes, Lars;Essler, Fabian H. L.;Lauchli, Andreas M.
通讯作者：
Lauchli, Andreas M.