Testing scalar field self-dualities in <mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" display="inline"> <mml:mi>d</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> using a variational method
Romatschke, P., Romatschke, U.. (2026). Testing scalar field self-dualities in
| Title | Testing scalar field self-dualities in <mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" display="inline"> <mml:mi>d</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> using a variational method |
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| Genre | Article |
| Author(s) | P. Romatschke, Ulrike Romatschke |
| Abstract | Recently, self-dualities based on saddle-point expansions have been proposed as a means to obtain qualitative nonperturbative information in scalar field theories. In this work, we test this proposition quantitatively by studying the phase transition for critical scalar ϕ 4 field theory in 1 + 1 dimensions using a variational method. We find that saddle-point methods obtain quantitative agreement for the free energy, but differ on the order of 25% for the peak location of the correlation length. |
| Publication Title | Physical Review D |
| Publication Date | Jun 1, 2026 |
| Publisher's Version of Record | https://doi.org/10.1103/25zd-4r9z |
| OpenSky Citable URL | https://n2t.net/ark:/85065/d73n27zt |
| OpenSky Listing | View on OpenSky |
| EOL Affiliations | RSF |