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Ranku

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Does electroweak symmetry breaking involve quantum tunneling?

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In summary: Higg's inflation and the stages I'm thinking of under supersymmetry SO (10) MSSM. It gets a little tricky to follow to answer accurately. Which is why I'm hesitant as it also depends on which SU break the OP is considering as the GUT break which can vary depending if he's only considering the Glamshow or including Pati-Salam including Higgs for the minimal SM SO (10) which I've ever seen one paper on. SO (10)MSSM is incredibly easy to find but SO (10) MSM incredibly impossible.Summary:In summary, electroweak symmetry breaking does not involve quantum tunneling.

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Ranku

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Does electroweak symmetry breaking involve quantum tunneling?

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Chalnoth

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I don't think so. I believe the typical belief is that electroweak symmetry breaking was a thermal phenomenon: at high temperatures, the electromagnetic and weak forces behaved as one force. As the temperature lowered, self-interactions caused the field to settle in a state that was a local minimum of energy (possibly global, but not likely).Ranku said:Does electroweak symmetry breaking involve quantum tunneling?

Tunneling would be involved if the field tunneled from that local minimum to another, nearby local minimum. I don't think there's any evidence that something like that happened related to electroweak symmetry breaking. Tunneling may have played a part in the early universe (it's often brought up in the context of inflation), but I don't think it played a part here.

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Ranku

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Mordred

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Electroweak symmetry breaking would be more accurately described as a phase transition than tunnelling as Chalnoth pointed out above. Timing is a bit tricky and heavily model dependant as to which dynamics occurs and when but usually the older models such as False vacuum had the tunnelling occurring prior to electroweak symmetry break as far as I know. Though extremely close together lol.

I don't if this is a golden rule but I've noticed anytime your dealing with inflation your under scalar field modelling ie quantum tunnelling . Once you symmetry break you now have additional fields so you have to account for these additional degrees of freedom. This where I tend to see described under nucleosynthesis via Bose-Einstein and Fermi-Dirac statistics. I don't recall ever seeing tunnelling described after electroweak symmetry break. Except in bubble universe models

I don't if this is a golden rule but I've noticed anytime your dealing with inflation your under scalar field modelling ie quantum tunnelling . Once you symmetry break you now have additional fields so you have to account for these additional degrees of freedom. This where I tend to see described under nucleosynthesis via Bose-Einstein and Fermi-Dirac statistics. I don't recall ever seeing tunnelling described after electroweak symmetry break. Except in bubble universe models

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Ranku

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Mordred

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Well electroweak symmetry break certainly doesn't require tunneling it just requires an expanded volume and rate of expansion sufficient to allow the required particles to decouple from thermal equilibrium. I've never seen this described via tunnelling. Been awhile since I looked at the break itself but the timing involves the fields coupling constant. As temperature rises the coupling constants gain in strength and become essentially indistinguishable if I recall correctly the term "Running of the coupling constants" was used to describe this at one time.

Muchanovs Fundamentals of Cosmology has excellence coverage on this so I can check that later for you

Muchanovs Fundamentals of Cosmology has excellence coverage on this so I can check that later for you

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- #7

Ranku

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Ok, clear. Thanks to both.

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PeterDonis

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Ranku said:with tunneling, as in GUT symmetry breaking

Why do you think GUT symmetry breaking requires tunneling?

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Mordred

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http://pdg.lbl.gov/2011/reviews/rpp2011-rev-guts.pdf GRAND UNIFIED THEORIES

It covers SO (10) as well.

nucleosynthesis is detailed in chapters 3 snd 4 here

http://www.wiese.itp.unibe.ch/lectures/universe.pdf:" Particle Physics of the Early universe" by Uwe-Jens Wiese Thermodyna

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Vanadium 50

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PeterDonis said:Why do you think GUT symmetry breaking requires tunneling?

We went through this in his other thread on this. He's been told it doesn't.

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Ranku

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- #12

PeterDonis

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Ranku said:'Slow roll' phase transition of inflation, preceding GUT symmetry breaking is described by a flattened Mexican hat energy density representation.

In the simplest version, "slow roll", AFAIK, doesn't even use a Mexican hat potential; just a one-dimensional potential with a "hill". Note that there is no tunneling required.

I am not aware that this "slow roll" transition is also the same one that precipitates GUT symmetry breaking. Nor am I aware that GUT symmetry breaking is currently modeled using such a potential.

Ranku said:Can electroweak phase transition be also described by a flattened Mexican hat energy density representation?

As far as I know this is the currently favored model, yes.

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Mordred

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"I am not aware that this "slow roll" transition is also the same one that precipitates GUT symmetry breaking. Nor am I aware that GUT symmetry breaking is currently modeled using such a potential"

Not sure on this but there is a correlation to the seesaw mechanism of Higg's inflation but the stages I'm thinking of is under supersymmetry SO (10) MSSM. It gets a little tricky to follow to answer accurately. Which is why I'm hesitant as it also depends on which SU break the OP is considering as the GUT break which can vary depending if he's only considering the Glamshow or including Pati-Salam including Higgs for the minimal SM SO (10) which I've ever seen one paper on. SO (10)MSSM is incredibly easy to find but SO (10) MSM incredibly impossible.

Though I will admit there is aspects of the Higgs field I am still studying which includes the seesaw mechanism which at one time I thought I understood but a dissertation paper I picked up made me realize there was aspects I had wrong.

I've literally lost count of the number of seesaw variations I've come across on arxiv. seesaw 1 seesaw 2 seesaw 3. with variations on each.

Here is an arxiv that discusses GUT and refers to the seesaw mechanism. As I stated I'm unclear on various aspects of it

http://www.google.ca/url?sa=t&source=web&cd=&ved=0ahUKEwjNs8aLzeLRAhUW22MKHV-2B8wQFggfMAA&url=https://arxiv.org/pdf/1110.3210&usg=AFQjCNEnhrpDmtuTrPeoiQoXmt8nb8_0Gg&sig2=mLpXO2V9wcg7Bd2qP-b7QA

apologize for the Google link my phone tends to autodownload.

As far as Higg's inflation the Encyclopedia Inflationaris (ASPIC Library) still considers this a viable inflation model. They regularly test the numerous inflation models to the available datasets ie Planck.

As to the dissertation I've been studying its

"Higg's dynamics during Inflation" by Stephen Stophyra. Its strictly done in the standard model regime

Not sure on this but there is a correlation to the seesaw mechanism of Higg's inflation but the stages I'm thinking of is under supersymmetry SO (10) MSSM. It gets a little tricky to follow to answer accurately. Which is why I'm hesitant as it also depends on which SU break the OP is considering as the GUT break which can vary depending if he's only considering the Glamshow or including Pati-Salam including Higgs for the minimal SM SO (10) which I've ever seen one paper on. SO (10)MSSM is incredibly easy to find but SO (10) MSM incredibly impossible.

Though I will admit there is aspects of the Higgs field I am still studying which includes the seesaw mechanism which at one time I thought I understood but a dissertation paper I picked up made me realize there was aspects I had wrong.

I've literally lost count of the number of seesaw variations I've come across on arxiv. seesaw 1 seesaw 2 seesaw 3. with variations on each.

Here is an arxiv that discusses GUT and refers to the seesaw mechanism. As I stated I'm unclear on various aspects of it

http://www.google.ca/url?sa=t&source=web&cd=&ved=0ahUKEwjNs8aLzeLRAhUW22MKHV-2B8wQFggfMAA&url=https://arxiv.org/pdf/1110.3210&usg=AFQjCNEnhrpDmtuTrPeoiQoXmt8nb8_0Gg&sig2=mLpXO2V9wcg7Bd2qP-b7QA

apologize for the Google link my phone tends to autodownload.

As far as Higg's inflation the Encyclopedia Inflationaris (ASPIC Library) still considers this a viable inflation model. They regularly test the numerous inflation models to the available datasets ie Planck.

As to the dissertation I've been studying its

"Higg's dynamics during Inflation" by Stephen Stophyra. Its strictly done in the standard model regime

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Electroweak symmetry breaking is a fundamental process in particle physics that explains how the weak nuclear force and electromagnetic force, which were once thought to be separate, are actually different manifestations of a single unified force at high energies. This process involves the Higgs field, which gives mass to elementary particles, and the Higgs boson, which was discovered in 2012 at the Large Hadron Collider.

Electroweak symmetry breaking occurs when the Higgs field transitions from a symmetric state to a non-symmetric state, breaking the electroweak symmetry and giving mass to particles. This transition is triggered by the extreme energy levels of the early universe, and it is similar to how a magnet aligns its magnetic field when it cools down.

Quantum tunneling is a phenomenon in which particles can pass through energy barriers that would be impossible to overcome according to classical physics. In the context of electroweak symmetry breaking, quantum tunneling plays a crucial role in triggering the transition of the Higgs field from the symmetric state to the non-symmetric state, thus breaking the electroweak symmetry.

Electroweak symmetry breaking is a key component of the Standard Model of particle physics, which is our current best understanding of the fundamental particles and forces that make up our universe. By giving mass to particles, this process helps explain the origin of mass and provides a deeper understanding of the behavior of matter at the subatomic level.

Electroweak symmetry breaking has greatly contributed to our understanding of the fundamental building blocks of the universe, but it is still an active area of research. Further studies of this process, along with other phenomena such as dark matter and dark energy, will help us continue to unravel the mysteries of the universe and potentially lead to new discoveries and advancements in particle physics.

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