A periodic table of effective field theories

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368868" target="_blank" >RIV/00216208:11320/17:10368868 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/JHEP02(2017)020" target="_blank" >http://dx.doi.org/10.1007/JHEP02(2017)020</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP02(2017)020" target="_blank" >10.1007/JHEP02(2017)020</a>

Result language

angličtina

Original language name

A periodic table of effective field theories

Original language description

We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we de fi ne an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowed space of EFTs, we prove that exceptional EFTs like the non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie precisely on the boundary of allowed theory space. Using on-shell momentum shifts and recursion relations, we prove that EFTs with arbitrarily soft behavior are forbidden and EFTs with leading valency much greater than the spacetime dimension cannot have enhanced soft behavior. We then enumerate all single scalar EFTs in d &lt; 6 and verify that they correspond to known theories in the literature. Our results suggest that the exceptional theories are the natural EFT analogs of gauge theory and gravity because they are one-parameter theories whose interactions are strictly dictated by properties of the S-matrix.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10303 - Particles and field physics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of High Energy Physics [online]

ISSN

1029-8479

e-ISSN

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Volume of the periodical

2017

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

51

Pages from-to

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UT code for WoS article

000394426100003

EID of the result in the Scopus database

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