Physics:Quantum Spontaneous symmetry breaking - Revision history

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	== See also ==		== See also ==
	* [[Physics:Quantum Field Theory Gauge symmetry]]		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}
	* [[Physics:~~Quantum scalar field]]~~
	* [[Physics:Quantum ~~Electroweak theory]]~~
	* [[Biography:Peter Higgs]]

	== References ==		== References ==

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	{{Short description\|Selection of a less symmetric state from symmetric physical laws}}		{{Short description\|Selection of a less symmetric state from symmetric physical laws}}
			{{Quantum book backlink\|Quantum field theory}}
			{{Quantum article nav\|previous=Physics:Quantum Field Theory Gauge symmetry\|previous label=Field Theory Gauge symmetry\|next=Physics:Quantum Non-Abelian gauge theory\|next label=Non-Abelian gauge theory}}
	{{ScholarlyWiki page top		{{ScholarlyWiki page top
	\|backlink=~~{{Quantum book backlink\|Quantum field theory}}~~		\|backlink=
	{{Quantum article nav\|previous=Physics:Quantum Field Theory Gauge symmetry\|previous label=Field Theory Gauge symmetry\|next=Physics:Quantum Non-Abelian gauge theory\|next label=Non-Abelian gauge theory}}
	\|image=[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|430px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]		\|image=[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|430px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]
	\|text='''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		\|text='''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>
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	In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.		In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.
	}}		}}

	== Order and fields ==		== Order and fields ==
	A common picture is the Mexican-hat potential: the top is symmetric, but the stable ground states form a ring of choices. Once one point on the ring is selected, the symmetry is no longer visible in the realized state.		A common picture is the Mexican-hat potential: the top is symmetric, but the stable ground states form a ring of choices. Once one point on the ring is selected, the symmetry is no longer visible in the realized state.

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	{{ScholarlyWiki page top		{{ScholarlyWiki page top

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	{{Short description\|Selection of a less symmetric state from symmetric physical laws}}		{{Short description\|Selection of a less symmetric state from symmetric physical laws}}
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			\|backlink={{Quantum book backlink\|Quantum field theory}}
	{{Quantum article nav\|previous=Physics:Quantum Field Theory Gauge symmetry\|previous label=Field Theory Gauge symmetry\|next=Physics:Quantum Non-Abelian gauge theory\|next label=Non-Abelian gauge theory}}		{{Quantum article nav\|previous=Physics:Quantum Field Theory Gauge symmetry\|previous label=Field Theory Gauge symmetry\|next=Physics:Quantum Non-Abelian gauge theory\|next label=Non-Abelian gauge theory}}
			\|image=[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|430px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]
	[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|~~thumb\|right\|320px~~\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]		\|text='''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.		In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.
			}}

	== Order and fields ==		== Order and fields ==

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	~~<div style="display~~:~~flex; gap:24px; align-items:flex-start; max-width:1280px; clear:both;">~~		[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|thumb\|right\|320px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]
	~~<div style="flex:1 1 680px; min-width:0; line-height:1.55;">~~
	'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.		In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.
	~~</div>~~
	~~<div style="flex:0 0 380px; max-width:38%;">~~
	~~[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|thumb\|360px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]~~
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	~~</div>~~

	~~<div style="clear:both;"></div>~~

	== Order and fields ==		== Order and fields ==

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	~~[[File~~:~~Quantum_spontaneous_symmetry_breaking_yellow~~.~~png\|thumb\|280px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]~~		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1280px; clear:both;">
			<div style="flex:1 1 680px; min-width:0; line-height:1.55;">
	'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>		'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics\|quantum field theory]].<ref>{{cite web \|url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking \|title=Spontaneous symmetry breaking \|publisher=Wikipedia \|access-date=20 May 2026}}</ref>

	In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.		In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.
			</div>
			<div style="flex:0 0 380px; max-width:38%;">
			[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|thumb\|360px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]
			</div>
			</div>

			<div style="clear:both;"></div>

	== Order and fields ==		== Order and fields ==

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			{{Quantum article nav\|previous=Physics:Quantum Field Theory Gauge symmetry\|previous label=Field Theory Gauge symmetry\|next=Physics:Quantum Non-Abelian gauge theory\|next label=Non-Abelian gauge theory}}

	[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|thumb\|280px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]		[[File:Quantum_spontaneous_symmetry_breaking_yellow.png\|thumb\|280px\|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]

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{{Short description|Selection of a less symmetric state from symmetric physical laws}}
{{Quantum book backlink|Quantum field theory}}

[[File:Quantum_spontaneous_symmetry_breaking_yellow.png|thumb|280px|Spontaneous symmetry breaking illustrated by a symmetric potential with asymmetric ground states.]]

'''Quantum spontaneous symmetry breaking''' occurs when the equations or energy function of a system have a symmetry, but the state chosen by the system does not display that full symmetry. The idea is central to condensed matter physics and [[Physics:Quantum field theory (QFT) basics|quantum field theory]].<ref>{{cite web |url=https://en.wikipedia.org/wiki/Spontaneous_symmetry_breaking |title=Spontaneous symmetry breaking |publisher=Wikipedia |access-date=20 May 2026}}</ref>

In many systems, the symmetric state is unstable or energetically disfavored. The system settles into one of several equivalent lower-energy states, each of which breaks the original symmetry in a particular direction.

== Order and fields ==
A common picture is the Mexican-hat potential: the top is symmetric, but the stable ground states form a ring of choices. Once one point on the ring is selected, the symmetry is no longer visible in the realized state.

In quantum field theory, spontaneous symmetry breaking explains how fields can acquire nonzero vacuum values. In the electroweak theory, this idea is connected with the Higgs mechanism and the masses of weak gauge bosons.

== Physical examples ==
Examples include magnetization in ferromagnets, crystal formation, superfluid phases, superconductivity, and the Higgs field. The broken symmetry often gives rise to collective modes, domain structures, or special low-energy excitations.

The concept helps explain how simple symmetric laws can produce structured and asymmetric physical worlds.

== See also ==
* [[Physics:Quantum Field Theory Gauge symmetry]]
* [[Physics:Quantum scalar field]]
* [[Physics:Quantum Electroweak theory]]
* [[Biography:Peter Higgs]]

== References ==
{{reflist|3}}

{{Author|Harold Foppele}}

{{Sourceattribution|Physics:Quantum Spontaneous symmetry breaking|1}}