A new solution to the Callan Rubakov effect
A bstract In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4 d SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion s...
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| Published in | The journal of high energy physics Vol. 2024; no. 11; pp. 170 - 41 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
28.11.2024
Springer Nature B.V SpringerOpen |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1029-8479 1126-6708 1127-2236 1029-8479 |
| DOI | 10.1007/JHEP11(2024)170 |
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| Abstract | A
bstract
In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4
d
SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped
W
-bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent
ℤ
N
generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon’s electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved
ℤ
N
global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add “new” states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. |
|---|---|
| AbstractList | Abstract In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4d SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped W-bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent ℤ N generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon’s electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved ℤ N global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add “new” states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4d SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped W-bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent ℤN generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon’s electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved ℤN global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add “new” states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4 d SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped W -bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent ℤ N generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon’s electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved ℤ N global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add “new” states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. A bstract In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4 d SU(2) gauge theory. We propose a complete physical picture of the monopole-fermion interaction which encompasses all angular momentum modes. We show that as an in-going fermion scatters off a monopole, it excites trapped W -bosons in the monopole core by a version of the Witten effect so that the monopole can accrue charge and transform into a dyon at parametrically low energies. The imparted electric charge is then protected from decay by an emergent ℤ N generalized global symmetry, creating a stable dyon. At sufficiently low energies, the scattered fermion can be trapped by the dyon’s electrostatic potential, forming a bound state, which can decay into spherically symmetric fermion modes subject to the preserved ℤ N global symmetry. We propose that monopole-fermion scattering can be described in this way without needing to add “new” states to the Hilbert space, thereby eliminating a long standing confusion in the Callan Rubakov effect. |
| ArticleNumber | 170 |
| Author | Brennan, T. Daniel |
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bstract
In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4
d
SU(2) gauge theory. We propose a... In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4 d SU(2) gauge theory. We propose a complete... In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4d SU(2) gauge theory. We propose a complete... Abstract In this paper we study the scattering of massive fermions off of smooth, spherically symmetric monopoles in 4d SU(2) gauge theory. We propose a... |
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| SubjectTerms | Angular momentum Bosons Boundary conditions Charged particles Classical and Quantum Gravitation Decay Elementary Particles Fermions Gauge theory Global Symmetries Grand Unification Hilbert space Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Scattering Solitons Monopoles and Instantons String Theory Symmetry |
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| Title | A new solution to the Callan Rubakov effect |
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