data/mathoid/218.mml
<math
xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="upper L equals i normal upper Psi overbar gamma Superscript mu Baseline partial-differential Subscript mu Baseline normal upper Psi minus normal upper Psi overbar normal upper Psi minus q normal upper Psi overbar gamma Superscript 0 Baseline normal upper Psi normal upper Phi plus one-half left-parenthesis partial-differential Subscript mu Baseline normal upper Phi right-parenthesis left-parenthesis partial-differential Superscript mu Baseline normal upper Phi right-parenthesis">
<semantics>
<mrow data-semantic-type="relseq" data-semantic-role="equality" data-semantic-id="68" data-semantic-children="0,67" data-semantic-content="1">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mi class="MJX-tex-mathit" mathvariant="italic" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="0" data-semantic-parent="68">L</mi>
</mrow>
</mrow>
<mo data-semantic-type="relation" data-semantic-role="equality" data-semantic-id="1" data-semantic-parent="68" data-semantic-operator="relseq,=">=</mo>
<mrow data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="67" data-semantic-children="58,66" data-semantic-content="28" data-semantic-parent="68">
<mrow data-semantic-type="infixop" data-semantic-role="subtraction" data-semantic-id="58" data-semantic-children="55,57,63" data-semantic-content="13,18" data-semantic-parent="67">
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="55" data-semantic-children="2,5,8,51" data-semantic-content="52,53,54" data-semantic-parent="58">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="2" data-semantic-parent="55">i</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="52" data-semantic-parent="55" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="5" data-semantic-children="3,4" data-semantic-parent="55">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="3" data-semantic-parent="5">Ψ
<!-- Ψ -->
</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="4" data-semantic-parent="5">¯
<!-- ¯ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="53" data-semantic-parent="55" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="greekletter" data-semantic-id="8" data-semantic-children="6,7" data-semantic-parent="55">
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="6" data-semantic-parent="8">γ
<!-- γ -->
</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="7" data-semantic-parent="8">μ
<!-- μ -->
</mi>
</mrow>
</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="54" data-semantic-parent="55" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="51" data-semantic-children="11,12" data-semantic-content="50" data-semantic-parent="55">
<msub data-semantic-type="subscript" data-semantic-role="prefix function" data-semantic-id="11" data-semantic-children="9,10" data-semantic-parent="51">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="9" data-semantic-parent="11">∂
<!-- ∂ -->
</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="10" data-semantic-parent="11">μ
<!-- μ -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="50" data-semantic-parent="51" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="12" data-semantic-parent="51">Ψ
<!-- Ψ -->
</mi>
</mrow>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="13" data-semantic-parent="58" data-semantic-operator="infixop,−">−
<!-- − -->
</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="57" data-semantic-children="16,17" data-semantic-content="56" data-semantic-parent="58">
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="16" data-semantic-children="14,15" data-semantic-parent="57">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="14" data-semantic-parent="16">Ψ
<!-- Ψ -->
</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="15" data-semantic-parent="16">¯
<!-- ¯ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="56" data-semantic-parent="57" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="17" data-semantic-parent="57">Ψ
<!-- Ψ -->
</mi>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="subtraction" data-semantic-id="18" data-semantic-parent="58" data-semantic-operator="infixop,−">−
<!-- − -->
</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="63" data-semantic-children="19,22,25,26,27" data-semantic-content="59,60,61,62" data-semantic-parent="58">
<mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="19" data-semantic-parent="63">q</mi>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="59" data-semantic-parent="63" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="22" data-semantic-children="20,21" data-semantic-parent="63">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="20" data-semantic-parent="22">Ψ
<!-- Ψ -->
</mi>
<mo stretchy="false" data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="21" data-semantic-parent="22">¯
<!-- ¯ -->
</mo>
</mover>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="60" data-semantic-parent="63" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<msup data-semantic-type="superscript" data-semantic-role="greekletter" data-semantic-id="25" data-semantic-children="23,24" data-semantic-parent="63">
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="23" data-semantic-parent="25">γ
<!-- γ -->
</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="24" data-semantic-parent="25">0</mn>
</mrow>
</msup>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="61" data-semantic-parent="63" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="26" data-semantic-parent="63">Ψ
<!-- Ψ -->
</mi>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="62" data-semantic-parent="63" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="27" data-semantic-parent="63">Φ
<!-- Φ -->
</mi>
</mrow>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="28" data-semantic-parent="67" data-semantic-operator="infixop,+">+</mo>
<mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="66" data-semantic-children="31,46,49" data-semantic-content="64,65" data-semantic-parent="67">
<mrow class="MJX-TeXAtom-ORD">
<mfrac data-semantic-type="fraction" data-semantic-role="vulgar" data-semantic-id="31" data-semantic-children="29,30" data-semantic-parent="66">
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="29" data-semantic-parent="31">1</mn>
<mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="30" data-semantic-parent="31">2</mn>
</mfrac>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="64" data-semantic-parent="66" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="46" data-semantic-children="45" data-semantic-content="32,37" data-semantic-parent="66">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="32" data-semantic-parent="46" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="45" data-semantic-children="35,36" data-semantic-content="44" data-semantic-parent="46">
<msub data-semantic-type="subscript" data-semantic-role="prefix function" data-semantic-id="35" data-semantic-children="33,34" data-semantic-parent="45">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="33" data-semantic-parent="35">∂
<!-- ∂ -->
</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="34" data-semantic-parent="35">μ
<!-- μ -->
</mi>
</mrow>
</msub>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="44" data-semantic-parent="45" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="36" data-semantic-parent="45">Φ
<!-- Φ -->
</mi>
</mrow>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="37" data-semantic-parent="46" data-semantic-operator="fenced">)</mo>
</mrow>
<mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="65" data-semantic-parent="66" data-semantic-added="true" data-semantic-operator="infixop,"></mo>
<mrow data-semantic-type="fenced" data-semantic-role="leftright" data-semantic-id="49" data-semantic-children="48" data-semantic-content="38,43" data-semantic-parent="66">
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="38" data-semantic-parent="49" data-semantic-operator="fenced">(</mo>
<mrow data-semantic-type="appl" data-semantic-role="prefix function" data-semantic-id="48" data-semantic-children="41,42" data-semantic-content="47" data-semantic-parent="49">
<msup data-semantic-type="superscript" data-semantic-role="prefix function" data-semantic-id="41" data-semantic-children="39,40" data-semantic-parent="48">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal" data-semantic-type="prefixop" data-semantic-role="prefix function" data-semantic-font="normal" data-semantic-id="39" data-semantic-parent="41">∂
<!-- ∂ -->
</mi>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="40" data-semantic-parent="41">μ
<!-- μ -->
</mi>
</mrow>
</msup>
<mo data-semantic-type="punctuation" data-semantic-role="application" data-semantic-id="47" data-semantic-parent="48" data-semantic-added="true" data-semantic-operator="appl"></mo>
<mi mathvariant="normal" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-id="42" data-semantic-parent="48">Φ
<!-- Φ -->
</mi>
</mrow>
<mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="43" data-semantic-parent="49" data-semantic-operator="fenced">)</mo>
</mrow>
</mrow>
</mrow>
</mrow>
<annotation encoding="application/x-tex">{\it {L}}=i{\bar {\Psi }}{\gamma }^{\mu }{\partial }_{\mu }{\Psi }-{\bar {\Psi }}{\Psi }-q{\bar {\Psi }}{\gamma }^{0}{\Psi }\Phi +{1 \over 2}({\partial }_{\mu }\Phi )({\partial }^{\mu }\Phi )</annotation>
</semantics>
</math>