Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantisation of Lorentz invariant scalar field theory in non-commutative
  space-time and its consequence   Quantisation of Lorentz invariant scalar field theory in
Doplicher-Fredenhagen-Roberts (DFR) space-time, a Lorentz invariant,
non-commutative space-time is studied. Absence of a unique Lagrangian in
non-commutative space-time necessitates us to use an approach to quantisation
that is based on the equations of motion alone. Using this we derive the equal
time commutation relation between Doplicher-Fredenhagen-Roberts-Amorim (DFRA)
scalar field and its conjugate, which has non-commutative dependent
modifications, but the corresponding creation and annihilation operators obey
usual algebra. We show that imposing the condition that the commutation
relation between the field and its conjugate is same as that in the commutative
space-time leads to a deformation of the algebra of quantised oscillators. Both
these deformed commutation relations derived are valid to all orders in the
non-commutative parameter. By analysing the first non-vanishing terms which are
$\theta^3$ order, we show that the deformed commutaton relations scale as
$1/\lambda^4$, where $\lambda$ is the length scale set by the non-commutativity
of the space-time. We also derive the conserved currents for DFRA scalar field.
Further, we analyse the effects of non-commutativity on Unruh effect by
analysing a detector coupled to the DFRA scalar field, showing that the Unruh
temperature is not modified but the thermal radiation seen by the accelerated
observer gets correction due to the non-commutativity of space-time.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: atom-ph