Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Perturbation in a Tomonaga-Luttinger Liquid at g=1/2   The orthogonality catastrophe in a Tomonaga-Luttinger liquid with an impurity
is reexamined for the case when the interaction parameter or the dimensionless
conductance is g=1/2. By transforming bosons back to fermions, the Hamiltonian
is reduced to a quadratic form, which allows for explicit calculation of the
overlap integral and the local density of states at the defect site. The
exponent of the orthogonality catastrophe due to a backward scattering center
is found to be 1/8, in agreement with previous studies using different
approaches. The time-dependence of the core-hole Green's function is computed
numerically, which shows a clear crossover from a non-universal short-time
behavior to a universal long-time behavior. The local density of states
vanishes linearly in the low-energy limit at g=1/2.

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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys