- Page 1: Università degli Studi di Milano-B
- Page 5 and 6: Contents Contents i List of figures
- Page 7: CONTENTS 8.2.1 Lagrangian . . . . .
- Page 10 and 11: LIST OF FIGURES 6.8 The three ellip
- Page 12 and 13: Introduction and outline the β-fun
- Page 14 and 15: Introduction and outline Feynman di
- Page 17 and 18: Chapter 1 Basics and motivations 1.
- Page 19 and 20: and q ˙α y µ = x µ + iθ α σ
- Page 21 and 22: 1.2. Nonanticommutativity from supe
- Page 23 and 24: Chapter 2 Nonanticommutative supers
- Page 25 and 26: where we defined the charge conjuga
- Page 27 and 28: 2.3. Non-renormalization theorems T
- Page 29 and 30: Chapter 3 The Wess-Zumino model The
- Page 31 and 32: D 2 U D 2 φ D 2 Figure 3.1: New ve
- Page 33 and 34: Φ U A ~ 1 Φ U Φ A ~ 3 Φ Φ U A
- Page 35 and 36: and we define the overall power of
- Page 37 and 38: Chapter 4 Gauge theories The most i
- Page 39 and 40: 4.1. Supersymmetric gauge theories
- Page 41 and 42: 4.1. Supersymmetric gauge theories
- Page 43 and 44: 4.1. Supersymmetric gauge theories
- Page 45 and 46: 4.1. Supersymmetric gauge theories
- Page 47 and 48: 4.2. Pure gauge theory To extract t
- Page 49 and 50: 4.2. Pure gauge theory (4.1.54) for
- Page 51 and 52: 4.2.3 Four-point function Figure 4.
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4.2. Pure gauge theory with A = 2iF
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4.3 Renormalization with interactin
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The quadratic action 4.3. Renormali
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4.3. Renormalization with interacti
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4.3.4 The most general gauge invari
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which, after a bit of trivial algeb
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The general action 4.3. Renormaliza
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4.3. Renormalization with interacti
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κ-1 (a) (f) ∂ Γ A - i/2 [Γ,Γ]
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and Γ ′(1) 54 18 3 (h,h) = −
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4.3. Renormalization with interacti
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4.4. An explicit case: the U(1) the
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Figure 4.6: Gauge self-energy diagr
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4.4. An explicit case: the U(1) the
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4.4. An explicit case: the U(1) the
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4.4. An explicit case: the U(1) the
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φ φ h h φ h 4 (a) (f) φ φ φ h
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4.4. An explicit case: the U(1) the
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4.5. Summary and conclusions Exactl
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4.5. Summary and conclusions finite
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Part II Three-dimensional field the
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5. N = 2 Chern-Simons matter theori
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5. N = 2 Chern-Simons matter theori
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5. N = 2 Chern-Simons matter theori
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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6. Quantization, fixed points and R
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Chapter 7 Basics and motivations Th
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7.1. The supertrace theorem particl
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7.3. Mediating the supersymmetry br
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7.4. R-parity and R-symmetry model
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Chapter 8 Supersymmetric QCD and Se
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8.1.1 Supersymmetric Lagrangians 8.
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8.2. Supersymmetric QCD with two ch
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8.2. Supersymmetric QCD Because the
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8.2. Supersymmetric QCD Consider th
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8.2.4 Nf ≥ 3Nc 8.2. Supersymmetri
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8.2. Supersymmetric QCD The magneti
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8.3. SQCD with singlets: SSQCD driv
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Chapter 9 Non-supersymmetric vacua
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9.1. Generalities and basic example
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9.2. The ISS model The above exampl
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9.2. The ISS model where the two di
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9.2. The ISS model and it gives the
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9.2. The ISS model In order to esti
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9.3. Metastable vacua in the confor
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9.3. Metastable vacua in the confor
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Rearranging (9.3.66) for µIR and
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9.3. Metastable vacua in the confor
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9.3. Metastable vacua in the confor
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and superpotential 9.4. Supersymmet
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9.4. Supersymmetry breaking in thre
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V 9.4. Supersymmetry breaking in th
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9.4. Supersymmetry breaking in thre
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Models with relevant and marginal c
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Conclusions 171
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Appendices 173
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Appendix A Mathematical tools A.1 G
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A.3. Notations and conventions in t
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Appendix B Feynman rules B.1 Feynma
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B.1. Feynman rules for the general
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B.1. Feynman rules for the general
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B.2. Feynman rules for the abelian
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B.2. Feynman rules for the abelian
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B.2. Feynman rules for the abelian
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B.2. Feynman rules for the abelian
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Appendix C Details on supersymmetry
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C.1. The bounce action for a triang
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and we have SB,IR = SB,UV Z 3 φ C.
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C.3. The bounce action for a triang
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C.4. Coleman-Weinberg formula in va
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Bibliography [1] D. Klemm, S. Penat
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BIBLIOGRAPHY [30] F. Elmetti, A. Ma
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BIBLIOGRAPHY [63] S. Kim, “The co
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BIBLIOGRAPHY [96] A. Mauri, S. Pena
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BIBLIOGRAPHY [131] R. Argurio, M. B