Scaled affine quantization of $$\varphi ^4_4$$ φ 4 4 in the low temperature limit

Riccardo Fantoni (Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, Grignano, Trieste, 34151, Italy) ; John Klauder (Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, 32611-8440, USA)

We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $$\varphi ^r_n$$ φ n r , where r denotes the power of the interaction term and $$n = s + 1$$ n = s + 1 where s is the spatial dimension and 1 adds imaginary time, such that $$r = n = 4$$ r = n = 4 can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.

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      "surname": "Fantoni", 
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      "title": "Scaled affine quantization of  $$\\varphi ^4_4$$  <math> <msubsup> <mi>\u03c6</mi> <mn>4</mn> <mn>4</mn> </msubsup> </math>   in the low temperature limit"
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  "abstracts": [
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      "source": "Springer", 
      "value": "We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory,  $$\\varphi ^r_n$$  <math> <msubsup> <mi>\u03c6</mi> <mi>n</mi> <mi>r</mi> </msubsup> </math>  , where r denotes the power of the interaction term and  $$n = s + 1$$  <math> <mrow> <mi>n</mi> <mo>=</mo> <mi>s</mi> <mo>+</mo> <mn>1</mn> </mrow> </math>   where s is the spatial dimension and 1 adds imaginary time, such that  $$r = n = 4$$  <math> <mrow> <mi>r</mi> <mo>=</mo> <mi>n</mi> <mo>=</mo> <mn>4</mn> </mrow> </math>   can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime."
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Published on:
28 September 2022
Publisher:
Springer
Published in:
European Physical Journal C , Volume 82 (2022)
Issue 9
Pages 1-4
DOI:
https://doi.org/10.1140/epjc/s10052-022-10807-x
arXiv:
2203.05988
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: