Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Worldline Formalism in Snyder Spaces   We study the $\phi_{\star}^4$ model for a scalar field in a linearization of
the Snyder model, using the methods of the Worldline Formalism. Our main result
is a master equation for the 1-loop n-point function. From this we derive the
renormalization of the coupling parameters of the theory and observe the
appearance of a $\phi^6$ divergent contribution that opens the question of
whether this theory is renormalizable or not. Additionally, we observe that
some terms in the renormalized action can be interpreted as coming from an
effective metric proportional to the square of the field.

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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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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: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an