Physics:Quantum field theory (QFT) core - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:39Z

Restore missing Quantum reference definitions

← Older revision		Revision as of 00:31, 24 May 2026
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	* <math>F_{\mu\nu}</math> is the field strength tensor		* <math>F_{\mu\nu}</math> is the field strength tensor

	This structure encodes both particle dynamics and interactions.<ref name="peskin"/>		This structure encodes both particle dynamics and interactions.<ref name="peskin">Peskin, M. E.; Schroeder, D. V. ''An Introduction to Quantum Field Theory'' (1995).</ref>

	== Symmetry and gauge structure ==		== Symmetry and gauge structure ==
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	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	== References ==		= References =
	{{reflist\|3}}		{{reflist\|3}}
	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Physics:Quantum field theory (QFT) core\|1}}		{{Sourceattribution\|Physics:Quantum field theory (QFT) core\|1}}

WikiHarold: Use Quantum See also index module

2026-05-23T22:21:49Z

Use Quantum See also index module

← Older revision		Revision as of 22:21, 23 May 2026
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	== See also ==		== See also ==
	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	~~== See also ==~~
	* [[Physics:Quantum electrodynamics]]
	* [[Physics:Quantum chromodynamics]]
	* Physics:Standard Model

	== References ==		== References ==

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:23Z

Normalize quantum page header order

← Older revision		Revision as of 11:33, 22 May 2026
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	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}		{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:41Z

Clean Book label remnants and backlink spacing

← Older revision		Revision as of 11:11, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}		{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}

Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:03:54Z

Remove hidden BOM characters and direct Book label after Short description

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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}

Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:48:57Z

Clean Short description prefix and add Book I label

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	~~~~{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}Book I

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}

Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:25:54Z

Apply Quantum previous-next navigation

← Older revision		Revision as of 12:25, 20 May 2026
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	~~~~{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Remove duplicate See also transclusion

2026-05-20T09:18:15Z

Remove duplicate See also transclusion

← Older revision		Revision as of 09:18, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
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	== See also ==		== See also ==
	~~{{:Physics:Quantum basics/See also}}~~
	* [[Physics:Quantum electrodynamics]]		* [[Physics:Quantum electrodynamics]]
	* [[Physics:Quantum chromodynamics]]		* [[Physics:Quantum chromodynamics]]

Maintenance script: Improve Book I intro quality

2026-05-20T09:04:51Z

Improve Book I intro quality

← Older revision		Revision as of 09:04, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''field theory (QFT) core''' ~~is a Book I topic in the Quantum Collection. Quantum~~ field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields. Core structure of quantum field theory: Lagrangian, fields, symmetries, and operators Quantum field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields~~. In QFT, classical fields such as scalar fields \phi(x), spinor fields \psi(x), and gauge fields A_\mu(x) are promoted to operators acting on a Hilbert space~~. Quantization replaces classical variables with operator-valued distributions satisfying commutation or anticommutation relations: ~~The dynamics of a quantum field~~ theory ~~are determined~~ by ~~a Lagrangian density \mathcal{L}, from which the equations of motion follow via the principle of least action~~: ~~\mathcal{L} = \bar{\psi}(i\gamma^\mu D_\mu - m)\psi - \frac{1}{4} F_{\mu\nu} F^{\mu\nu}~~ This structure encodes both particle dynamics and interactions.~~</div>~~		'''field theory (QFT) core''' quantum field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields. Core structure of quantum field theory: Lagrangian, fields, symmetries, and operators Quantum field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields. Quantization replaces classical variables with operator-valued distributions satisfying commutation or anticommutation relations: A typical interacting theory is described by: This structure encodes both particle dynamics and interactions.
	~~</div>~~
	</div>		</div>

Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:16:15Z

Clean Book I red links, intro, and image slots

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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''~~Quantum~~ field theory''' (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time.~~<ref name="peskin">Peskin~~, ~~M. E.; Schroeder~~, ~~D. V. ''An Introduction to~~ Quantum ~~Field Theory''~~ (~~1995~~).~~</ref>~~ Particles appear as quantized excitations of these fields.		'''field theory (QFT) core''' is a Book I topic in the Quantum Collection. Quantum field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields. Core structure of quantum field theory: Lagrangian, fields, symmetries, and operators Quantum field theory (QFT) is the theoretical framework that combines quantum mechanics with special relativity by describing physical systems in terms of fields defined over space-time. Particles appear as quantized excitations of these fields. In QFT, classical fields such as scalar fields \phi(x), spinor fields \psi(x), and gauge fields A_\mu(x) are promoted to operators acting on a Hilbert space. Quantization replaces classical variables with operator-valued distributions satisfying commutation or anticommutation relations: The dynamics of a quantum field theory are determined by a Lagrangian density \mathcal{L}, from which the equations of motion follow via the principle of least action: \mathcal{L} = \bar{\psi}(i\gamma^\mu D_\mu - m)\psi - \frac{1}{4} F_{\mu\nu} F^{\mu\nu} This structure encodes both particle dynamics and interactions.</div>
	~~<div style="float:right; border:1px solid #ccc; padding:4px; background:#fff8dc; margin:0 0 1em 1em; width:420px;">~~
	~~<div style="font~~-~~size~~:~~90%;">Core structure~~ of quantum field theory: Lagrangian, ~~fields, symmetries,~~ and ~~operators~~</div>
	</div>		</div>
	</div>		</div>
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	* [[Physics:Quantum electrodynamics]]		* [[Physics:Quantum electrodynamics]]
	* [[Physics:Quantum chromodynamics]]		* [[Physics:Quantum chromodynamics]]
	* [[Physics:Standard Model]]		* Physics:Standard Model

	== References ==		== References ==

← Older revision		Revision as of 11:11, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}		{{Short description\|Quantum Collection topic on Quantum field theory (QFT) core}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}		{{Quantum article nav\|previous=Physics:Quantum field theory (QFT) basics\|previous label=Field theory (QFT) basics\|next=Physics:Quantum Fields and Particles\|next label=Fields and Particles}}