<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-18T07:27:56Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2445/221320" metadataPrefix="marc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2445/221320</identifier><datestamp>2025-12-05T16:10:04Z</datestamp><setSpec>com_2072_1057</setSpec><setSpec>col_2072_478823</setSpec><setSpec>col_2072_478904</setSpec><setSpec>col_2072_478917</setSpec></header><metadata><record xmlns="http://www.loc.gov/MARC21/slim" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd">
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      <subfield code="a">Russo, J. G. (Jorge Guillermo)</subfield>
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      <subfield code="a">Townsend, Paul K.</subfield>
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      <subfield code="c">2024</subfield>
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      <subfield code="c">2025-06-02T16:32:07Z</subfield>
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      <subfield code="a">For any causal nonlinear electrodynamics theory that is “self-dual” (electromagnetic U(1)-duality invariant), the Legendre-dual pair of Lagrangian and Hamiltonian densities {L, H} are constructed from functions {ℓ, h} on R + related to a particle-mechanics Lagrangian and Hamiltonian. We show how a ‘duality’ relating ℓ to h implies that L and H are related by a simple map between appropriate pairs of variables. We also discuss Born’s “Legendre self-duality” and implications of a new “Φ-parity” duality. Our results are illustrated with many examples. </subfield>
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      <subfield code="a">Electrodinàmica</subfield>
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      <subfield code="a">Camps de galga (Física)</subfield>
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      <subfield code="a">Gauge fields (Physics)</subfield>
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      <subfield code="a">Dualities of self-dual nonlinear electrodynamics</subfield>
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